Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9702bz |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-23536625053788 = -1 · 22 · 310 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1975,-231451] |
[a1,a2,a3,a4,a6] |
Generators |
[667:16914:1] |
Generators of the group modulo torsion |
j |
9938375/274428 |
j-invariant |
L |
6.7310309590564 |
L(r)(E,1)/r! |
Ω |
0.32615593103623 |
Real period |
R |
2.5796828750251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77616et1 3234k1 1386i1 106722cp1 |
Quadratic twists by: -4 -3 -7 -11 |