Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
34814u |
Isogeny class |
Conductor |
34814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-1988645308 = -1 · 22 · 136 · 103 |
Discriminant |
Eigenvalues |
2- 2 -4 0 6 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,250,-1409] |
[a1,a2,a3,a4,a6] |
Generators |
[91164:649327:1728] |
Generators of the group modulo torsion |
j |
357911/412 |
j-invariant |
L |
10.371387161359 |
L(r)(E,1)/r! |
Ω |
0.79380800548206 |
Real period |
R |
6.5326798733028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
206a1 |
Quadratic twists by: 13 |