Atkin-Lehner |
2- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
23128t |
Isogeny class |
Conductor |
23128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-740096 = -1 · 28 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 0 1 7- -6 -4 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7,42] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:6:1] [1:6:1] |
Generators of the group modulo torsion |
j |
-3024/59 |
j-invariant |
L |
7.6615525238278 |
L(r)(E,1)/r! |
Ω |
2.3961535760488 |
Real period |
R |
0.7993595027058 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46256h1 23128o1 |
Quadratic twists by: -4 -7 |