Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9702b |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-56103596752896 = -1 · 215 · 33 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11- 2 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32349,2276357] |
[a1,a2,a3,a4,a6] |
j |
-24052806603/360448 |
j-invariant |
L |
1.2588693406557 |
L(r)(E,1)/r! |
Ω |
0.62943467032784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616cs1 9702ba1 9702j1 106722ed1 |
Quadratic twists by: -4 -3 -7 -11 |