Atkin-Lehner |
2+ 3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282r |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-105961053423456 = -1 · 25 · 319 · 7 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- -1 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16434,954292] |
[a1,a2,a3,a4,a6] |
Generators |
[1097:35537:1] |
Generators of the group modulo torsion |
j |
-673350049820449/145351239264 |
j-invariant |
L |
5.3664672675786 |
L(r)(E,1)/r! |
Ω |
0.56943130182995 |
Real period |
R |
2.3560643971975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17094t1 |
Quadratic twists by: -3 |