Atkin-Lehner |
2- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008ct |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
1596607988498432 = 226 · 72 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58796,5139664] |
[a1,a2,a3,a4,a6] |
Generators |
[60:1352:1] [300:3808:1] |
Generators of the group modulo torsion |
j |
85748618900673/6090576128 |
j-invariant |
L |
10.546865616458 |
L(r)(E,1)/r! |
Ω |
0.46548998593462 |
Real period |
R |
5.6643891034675 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008e1 24752bd1 |
Quadratic twists by: -4 8 |