Atkin-Lehner |
2+ 3+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464f |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
8853868856431872 = 28 · 310 · 7 · 13 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -3 13+ -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-845593,299536405] |
[a1,a2,a3,a4,a6] |
Generators |
[4394:5589:8] [348:6877:1] |
Generators of the group modulo torsion |
j |
261197128285148032000/34585425220437 |
j-invariant |
L |
9.3289264032304 |
L(r)(E,1)/r! |
Ω |
0.39683745986049 |
Real period |
R |
2.3508179916703 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50232k1 |
Quadratic twists by: -4 |