Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425bx |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
8870400 |
Modular degree for the optimal curve |
Δ |
6.1458194268313E+23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11+ -1 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-421073333,3325358389994] |
[a1,a2,a3,a4,a6] |
Generators |
[11692:25210:1] |
Generators of the group modulo torsion |
j |
7186354610687180800/534923296677 |
j-invariant |
L |
5.3102738627441 |
L(r)(E,1)/r! |
Ω |
0.087061738452042 |
Real period |
R |
1.5248586684463 |
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 |
121275dq1 40425bc1 5775g1 |
Quadratic twists by: -3 5 -7 |