Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40425dc |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
12898420541015625 = 36 · 59 · 77 · 11 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64951,-3281827] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:617:1] |
Generators of the group modulo torsion |
j |
131872229/56133 |
j-invariant |
L |
7.9533440524546 |
L(r)(E,1)/r! |
Ω |
0.3107218535521 |
Real period |
R |
2.1330288277463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275fv1 40425bo1 5775k1 |
Quadratic twists by: -3 5 -7 |