Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
34814w |
Isogeny class |
Conductor |
34814 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-22025408154959872 = -1 · 218 · 138 · 103 |
Discriminant |
Eigenvalues |
2- -2 0 -1 -6 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20368,-7229184] |
[a1,a2,a3,a4,a6] |
Generators |
[520:10824:1] |
Generators of the group modulo torsion |
j |
-1145574625/27000832 |
j-invariant |
L |
4.7077938392982 |
L(r)(E,1)/r! |
Ω |
0.16514890949971 |
Real period |
R |
4.7510595675528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
34814j1 |
Quadratic twists by: 13 |