Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
68355s |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-2.8327600541398E+22 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -4 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,5670672,6209546719] |
[a1,a2,a3,a4,a6] |
j |
235131885842333696/330288932402555 |
j-invariant |
L |
1.1189031329417 |
L(r)(E,1)/r! |
Ω |
0.079921651657582 |
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 |
7595j1 9765m1 |
Quadratic twists by: -3 -7 |