Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400et |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-8.419000457088E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -5 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,971867,-242999363] |
[a1,a2,a3,a4,a6] |
Generators |
[252:4225:1] |
Generators of the group modulo torsion |
j |
396555344454656/328867205355 |
j-invariant |
L |
4.018963378111 |
L(r)(E,1)/r! |
Ω |
0.10617532787967 |
Real period |
R |
1.8926070013608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400cv1 15600n1 12480cx1 |
Quadratic twists by: -4 8 5 |