Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702bx |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
52739474657562 = 2 · 37 · 77 · 114 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-99896,-12122575] |
[a1,a2,a3,a4,a6] |
j |
1285429208617/614922 |
j-invariant |
L |
2.1484009010574 |
L(r)(E,1)/r! |
Ω |
0.26855011263218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77616gq4 3234n4 1386l4 106722dn4 |
Quadratic twists by: -4 -3 -7 -11 |