Atkin-Lehner |
2+ 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62328f |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
39924636021860352 = 211 · 3 · 77 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89784,-3818100] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:1666:1] [-17116:63811:64] |
Generators of the group modulo torsion |
j |
332205796946/165700101 |
j-invariant |
L |
7.7210876333973 |
L(r)(E,1)/r! |
Ω |
0.2904330852148 |
Real period |
R |
26.584738538632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124656bc3 8904c4 |
Quadratic twists by: -4 -7 |