Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275cp |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-3089182038309675 = -1 · 311 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 11- -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10290,2704126] |
[a1,a2,a3,a4,a6] |
Generators |
[784:21829:1] |
Generators of the group modulo torsion |
j |
-1146880/29403 |
j-invariant |
L |
4.5097748556113 |
L(r)(E,1)/r! |
Ω |
0.37645749745228 |
Real period |
R |
0.49914608388001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425c1 121275fc1 121275dv1 |
Quadratic twists by: -3 5 -7 |