Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40425df |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
250880 |
Modular degree for the optimal curve |
Δ |
7802748228515625 = 32 · 59 · 79 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-74138,6498267] |
[a1,a2,a3,a4,a6] |
Generators |
[271:2380:1] |
Generators of the group modulo torsion |
j |
571787/99 |
j-invariant |
L |
4.1021755029176 |
L(r)(E,1)/r! |
Ω |
0.39675755576228 |
Real period |
R |
5.169624930058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275ft1 40425bn1 40425bp1 |
Quadratic twists by: -3 5 -7 |