Atkin-Lehner |
2- 3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
69678ba |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
27102094236 = 22 · 36 · 76 · 79 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -4 7 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1553,22565] |
[a1,a2,a3,a4,a6] |
j |
4826809/316 |
j-invariant |
L |
2.329512881667 |
L(r)(E,1)/r! |
Ω |
1.1647564563547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7742c1 1422f1 |
Quadratic twists by: -3 -7 |