Atkin-Lehner |
2+ 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46512a |
Isogeny class |
Conductor |
46512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-152397075538944 = -1 · 210 · 313 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 2 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11157,383434] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:374:1] [-13:486:1] |
Generators of the group modulo torsion |
j |
205749375836/204149889 |
j-invariant |
L |
8.9050858275541 |
L(r)(E,1)/r! |
Ω |
0.38033815586858 |
Real period |
R |
2.9267001253194 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23256j1 15504i1 |
Quadratic twists by: -4 -3 |