Atkin-Lehner |
2+ 3- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51282m |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7962624 |
Modular degree for the optimal curve |
Δ |
-4.1158928110909E+24 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,38910060,28277886672] |
[a1,a2,a3,a4,a6] |
Generators |
[138411:51477111:1] |
Generators of the group modulo torsion |
j |
8936796711846085160621759/5645943499438807842816 |
j-invariant |
L |
3.6076995158274 |
L(r)(E,1)/r! |
Ω |
0.04848214709202 |
Real period |
R |
9.301618565325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17094ba1 |
Quadratic twists by: -3 |