Atkin-Lehner |
2- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
87464f |
Isogeny class |
Conductor |
87464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15644160 |
Modular degree for the optimal curve |
Δ |
-13318560498673664 = -1 · 211 · 13 · 298 |
Discriminant |
Eigenvalues |
2- 3 -1 -5 -4 13- 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135571723,-607577646106] |
[a1,a2,a3,a4,a6] |
Generators |
[8619395849398376436975402428635988337586522738217183520801310032654260479707784244151844713611073247236721171154840090614530:2244535658919169991794124759171105368499337941367223231721863882689395719375029647672976011871555486688305125352261003884631664:123353610845670221428773009100940562819207949794283699565874158602469081239655232784720903412043983255981320587258567933] |
Generators of the group modulo torsion |
j |
-226210687270871058/10933 |
j-invariant |
L |
8.43697565894 |
L(r)(E,1)/r! |
Ω |
0.022122147318907 |
Real period |
R |
190.6907032422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3016b1 |
Quadratic twists by: 29 |