Atkin-Lehner |
2- 3- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
23226w |
Isogeny class |
Conductor |
23226 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
2548703066112 = 211 · 38 · 74 · 79 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -5 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4215,71721] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:2637:8] [-48:429:1] |
Generators of the group modulo torsion |
j |
3449298095761/1061517312 |
j-invariant |
L |
10.194543373484 |
L(r)(E,1)/r! |
Ω |
0.75240441693133 |
Real period |
R |
0.051323056759854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69678h1 23226v1 |
Quadratic twists by: -3 -7 |