Atkin-Lehner |
2- 3- 31- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
74772d |
Isogeny class |
Conductor |
74772 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-1499013643098096 = -1 · 24 · 36 · 315 · 672 |
Discriminant |
Eigenvalues |
2- 3- 1 1 0 6 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75537,-8205003] |
[a1,a2,a3,a4,a6] |
j |
-4086536655446784/128516258839 |
j-invariant |
L |
2.8744580832698 |
L(r)(E,1)/r! |
Ω |
0.14372290540353 |
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 |
8308b1 |
Quadratic twists by: -3 |