Atkin-Lehner |
2+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73408l |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
-4698112 = -1 · 212 · 31 · 37 |
Discriminant |
Eigenvalues |
2+ 2 4 -3 -2 1 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-281,1913] |
[a1,a2,a3,a4,a6] |
j |
-601211584/1147 |
j-invariant |
L |
4.8866641699954 |
L(r)(E,1)/r! |
Ω |
2.4433320824991 |
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 |
73408f1 36704f1 |
Quadratic twists by: -4 8 |