Atkin-Lehner |
5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72275f |
Isogeny class |
Conductor |
72275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-2.5430358415222E+21 |
Discriminant |
Eigenvalues |
1 -1 5+ 7- -6 -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,238850,2425926875] |
[a1,a2,a3,a4,a6] |
j |
341425679/576171875 |
j-invariant |
L |
0.45279559734352 |
L(r)(E,1)/r! |
Ω |
0.11319890048449 |
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 |
14455c1 72275b1 |
Quadratic twists by: 5 -7 |