Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112800bl |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
81216000000 = 212 · 33 · 56 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -5 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1133,5637] |
[a1,a2,a3,a4,a6] |
j |
2515456/1269 |
j-invariant |
L |
1.9145342421718 |
L(r)(E,1)/r! |
Ω |
0.95726710752454 |
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 |
112800cc1 4512f1 |
Quadratic twists by: -4 5 |