Atkin-Lehner |
2- 3+ 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
100650bo |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
807840 |
Modular degree for the optimal curve |
Δ |
-16845352798111200 = -1 · 25 · 322 · 52 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 3 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,61917,1982241] |
[a1,a2,a3,a4,a6] |
Generators |
[354629:7970782:1331] |
Generators of the group modulo torsion |
j |
1050057261011444135/673814111924448 |
j-invariant |
L |
9.7646408269483 |
L(r)(E,1)/r! |
Ω |
0.24324708725731 |
Real period |
R |
4.0142889025466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650bd1 |
Quadratic twists by: 5 |