Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312bo |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-4457093776128 = -1 · 28 · 36 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2940,80948] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:245:1] |
Generators of the group modulo torsion |
j |
128000/203 |
j-invariant |
L |
7.6943083875337 |
L(r)(E,1)/r! |
Ω |
0.52843487688447 |
Real period |
R |
1.8200701549574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11368d1 14616k1 |
Quadratic twists by: -3 -7 |