Atkin-Lehner |
2+ 3+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720d |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
-3.1133934430746E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3521764,-858989760] |
[a1,a2,a3,a4,a6] |
Generators |
[27487717730897090740:-2497097235867752540056:3516315206874625] |
Generators of the group modulo torsion |
j |
18869672934278622994736/12161693137010259375 |
j-invariant |
L |
4.1272165637437 |
L(r)(E,1)/r! |
Ω |
0.081296227870952 |
Real period |
R |
25.383813504855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999755157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48360k1 |
Quadratic twists by: -4 |