Atkin-Lehner |
2+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
62656f |
Isogeny class |
Conductor |
62656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
121604785831936 = 220 · 114 · 892 |
Discriminant |
Eigenvalues |
2+ 0 2 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15724,542640] |
[a1,a2,a3,a4,a6] |
Generators |
[1020:1360:27] |
Generators of the group modulo torsion |
j |
1640109694257/463885444 |
j-invariant |
L |
6.7692271314386 |
L(r)(E,1)/r! |
Ω |
0.5480389829304 |
Real period |
R |
6.1758627962123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000489 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62656m2 1958a2 |
Quadratic twists by: -4 8 |