Atkin-Lehner |
2+ 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760a |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2101248 |
Modular degree for the optimal curve |
Δ |
619378446720844800 = 210 · 39 · 52 · 113 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-230283,19376118] |
[a1,a2,a3,a4,a6] |
Generators |
[70314:18644580:1] |
Generators of the group modulo torsion |
j |
67006679748012/30730161275 |
j-invariant |
L |
9.0197944723622 |
L(r)(E,1)/r! |
Ω |
0.25887397996568 |
Real period |
R |
8.7106035543539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122760bh1 |
Quadratic twists by: -3 |