Atkin-Lehner |
2+ 3- 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
40626i |
Isogeny class |
Conductor |
40626 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
236930832 = 24 · 38 · 37 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 0 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-459,3829] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:65:1] [2:53:1] |
Generators of the group modulo torsion |
j |
14688124849/325008 |
j-invariant |
L |
4.8323438870552 |
L(r)(E,1)/r! |
Ω |
1.7590248447555 |
Real period |
R |
1.3735860245133 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13542i1 |
Quadratic twists by: -3 |