Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34656ba |
Isogeny class |
Conductor |
34656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-25021632 = -1 · 26 · 3 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 1 0 3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-842,9132] |
[a1,a2,a3,a4,a6] |
Generators |
[12:30:1] |
Generators of the group modulo torsion |
j |
-7924672/3 |
j-invariant |
L |
8.7702596303818 |
L(r)(E,1)/r! |
Ω |
2.0855644841507 |
Real period |
R |
2.10261051553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34656u1 69312cg1 103968l1 34656g1 |
Quadratic twists by: -4 8 -3 -19 |