Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696eq |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2776680568306630656 = -1 · 215 · 33 · 1112 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-628716,-207955440] |
[a1,a2,a3,a4,a6] |
Generators |
[988:11632:1] |
Generators of the group modulo torsion |
j |
-17535471192/1771561 |
j-invariant |
L |
4.4430993668756 |
L(r)(E,1)/r! |
Ω |
0.084290223275038 |
Real period |
R |
6.5889897925144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001647 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696ep2 34848bk2 69696em2 6336bs2 |
Quadratic twists by: -4 8 -3 -11 |