Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fb |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-53427404800 = -1 · 215 · 52 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 1 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,820,6480] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:56:1] |
Generators of the group modulo torsion |
j |
74434680/65219 |
j-invariant |
L |
5.2733816992328 |
L(r)(E,1)/r! |
Ω |
0.72937624751864 |
Real period |
R |
1.8074970360866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000145836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200ei1 61600n1 123200gl1 |
Quadratic twists by: -4 8 5 |