Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702bm |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-2416426838855568 = -1 · 24 · 39 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26690,2906705] |
[a1,a2,a3,a4,a6] |
Generators |
[135:-1391:1] |
Generators of the group modulo torsion |
j |
-500313625/574992 |
j-invariant |
L |
6.4231031019279 |
L(r)(E,1)/r! |
Ω |
0.41589479501855 |
Real period |
R |
0.32175119659976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616ep1 3234j1 9702bs1 106722bq1 |
Quadratic twists by: -4 -3 -7 -11 |