Atkin-Lehner |
3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68355x |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
77888073955545 = 39 · 5 · 77 · 312 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8343729,9278677008] |
[a1,a2,a3,a4,a6] |
j |
749011598724977281/908145 |
j-invariant |
L |
0.77583249144746 |
L(r)(E,1)/r! |
Ω |
0.38791624638499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22785o1 9765e1 |
Quadratic twists by: -3 -7 |