Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40425u |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
57558251953125 = 37 · 511 · 72 · 11 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- 3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10383,184043] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:387:1] |
Generators of the group modulo torsion |
j |
161702969344/75178125 |
j-invariant |
L |
3.8654709721042 |
L(r)(E,1)/r! |
Ω |
0.56023417704754 |
Real period |
R |
3.4498707241276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275cz1 8085z1 40425bv1 |
Quadratic twists by: -3 5 -7 |