Atkin-Lehner |
2+ 5+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350j |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-8912460050 = -1 · 2 · 52 · 134 · 792 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 -5 13- -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,495,1855] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-544:1] |
Generators of the group modulo torsion |
j |
534844703615/356498402 |
j-invariant |
L |
1.3104051404426 |
L(r)(E,1)/r! |
Ω |
0.81706133868169 |
Real period |
R |
0.20047533128492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51350x1 |
Quadratic twists by: 5 |