Atkin-Lehner |
2+ 3- 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51282g |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-980846910844416 = -1 · 29 · 38 · 72 · 115 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11+ 0 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3564,-1508144] |
[a1,a2,a3,a4,a6] |
j |
-6868751617729/1345469013504 |
j-invariant |
L |
0.88205715720919 |
L(r)(E,1)/r! |
Ω |
0.2205142894384 |
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 |
17094r1 |
Quadratic twists by: -3 |