Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9702a |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-487109783426112 = -1 · 26 · 39 · 74 · 115 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ 2 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-244176,-46392256] |
[a1,a2,a3,a4,a6] |
Generators |
[94408:28959976:1] |
Generators of the group modulo torsion |
j |
-34068278205171/10307264 |
j-invariant |
L |
3.7673234328393 |
L(r)(E,1)/r! |
Ω |
0.10738307835014 |
Real period |
R |
8.7707567400783 |
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 |
77616cy1 9702bd1 9702f1 106722ef1 |
Quadratic twists by: -4 -3 -7 -11 |