Atkin-Lehner |
3+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57477d |
Isogeny class |
Conductor |
57477 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39813120 |
Modular degree for the optimal curve |
Δ |
3.8302478939265E+28 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-964682307,-6658937579064] |
[a1,a2,a3,a4,a6] |
j |
843894996618837776475806497/325565699149719757349649 |
j-invariant |
L |
1.3995005379638 |
L(r)(E,1)/r! |
Ω |
0.027990010784905 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8211g1 |
Quadratic twists by: -7 |