Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
23226x |
Isogeny class |
Conductor |
23226 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
1114848 = 25 · 32 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -3 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-57,153] |
[a1,a2,a3,a4,a6] |
Generators |
[6:3:1] |
Generators of the group modulo torsion |
j |
418435297/22752 |
j-invariant |
L |
10.46142169681 |
L(r)(E,1)/r! |
Ω |
2.7127888091259 |
Real period |
R |
0.38563347289026 |
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 |
69678m1 23226t1 |
Quadratic twists by: -3 -7 |