Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312bw |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
2386734336 = 28 · 38 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 2 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4116,-101612] |
[a1,a2,a3,a4,a6] |
Generators |
[-996:134:27] |
Generators of the group modulo torsion |
j |
843308032/261 |
j-invariant |
L |
9.1870752893943 |
L(r)(E,1)/r! |
Ω |
0.59605835440748 |
Real period |
R |
3.8532616848844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34104q1 102312bd1 |
Quadratic twists by: -3 -7 |