Atkin-Lehner |
2+ 19- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
30704a |
Isogeny class |
Conductor |
30704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80736 |
Modular degree for the optimal curve |
Δ |
5951018576 = 24 · 192 · 1013 |
Discriminant |
Eigenvalues |
2+ 2 2 0 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-343427,-77349610] |
[a1,a2,a3,a4,a6] |
j |
279967940390805956608/371938661 |
j-invariant |
L |
4.8317774727851 |
L(r)(E,1)/r! |
Ω |
0.19721540705247 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15352a1 122816g1 |
Quadratic twists by: -4 8 |