Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400fa |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
41067000000 = 26 · 35 · 56 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8208,-283338] |
[a1,a2,a3,a4,a6] |
Generators |
[-145418:3529:2744] |
Generators of the group modulo torsion |
j |
61162984000/41067 |
j-invariant |
L |
4.0980377734134 |
L(r)(E,1)/r! |
Ω |
0.50159513090578 |
Real period |
R |
8.1700110721245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400he1 31200bx2 2496y1 |
Quadratic twists by: -4 8 5 |