Atkin-Lehner |
2+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73408o |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
178176 |
Modular degree for the optimal curve |
Δ |
797532700672 = 214 · 312 · 373 |
Discriminant |
Eigenvalues |
2+ 3 0 -3 1 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2320,1952] |
[a1,a2,a3,a4,a6] |
j |
84288384000/48677533 |
j-invariant |
L |
6.0819952361766 |
L(r)(E,1)/r! |
Ω |
0.76024940843429 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73408y1 9176e1 |
Quadratic twists by: -4 8 |