Atkin-Lehner |
2+ 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
51120n |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-33125760000 = -1 · 210 · 36 · 54 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-387,9234] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-90:1] [-15:108:1] |
Generators of the group modulo torsion |
j |
-8586756/44375 |
j-invariant |
L |
9.2591005718021 |
L(r)(E,1)/r! |
Ω |
1.0108197116066 |
Real period |
R |
0.572499506186 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25560h1 5680b1 |
Quadratic twists by: -4 -3 |