Atkin-Lehner |
3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275h |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-35607284201671875 = -1 · 33 · 56 · 78 · 114 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 11- -5 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-51450,-10129219] |
[a1,a2,a3,a4,a6] |
Generators |
[2450:13471:8] [309:1864:1] |
Generators of the group modulo torsion |
j |
-6193152/14641 |
j-invariant |
L |
9.5017893803102 |
L(r)(E,1)/r! |
Ω |
0.14796565210203 |
Real period |
R |
1.3378371439367 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000719 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275b1 4851b1 121275bb1 |
Quadratic twists by: -3 5 -7 |