Atkin-Lehner |
2+ 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96624k |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-7638706944 = -1 · 28 · 36 · 11 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 11- -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,492,-196] |
[a1,a2,a3,a4,a6] |
Generators |
[68:1159:64] |
Generators of the group modulo torsion |
j |
70575104/40931 |
j-invariant |
L |
5.9949110143393 |
L(r)(E,1)/r! |
Ω |
0.78238521805857 |
Real period |
R |
3.8311760410256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48312d1 10736a1 |
Quadratic twists by: -4 -3 |