Atkin-Lehner |
2- 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
25620b |
Isogeny class |
Conductor |
25620 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
96843600 = 24 · 34 · 52 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-981,12150] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-35:1] |
Generators of the group modulo torsion |
j |
6532108386304/6052725 |
j-invariant |
L |
4.2522840775229 |
L(r)(E,1)/r! |
Ω |
1.8859254903496 |
Real period |
R |
0.37579109914311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102480cc1 76860i1 128100t1 |
Quadratic twists by: -4 -3 5 |