Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40425db |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
119380078125 = 34 · 58 · 73 · 11 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11- -5 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-33833,2383994] |
[a1,a2,a3,a4,a6] |
Generators |
[58:787:1] |
Generators of the group modulo torsion |
j |
31967150080/891 |
j-invariant |
L |
5.6202025610969 |
L(r)(E,1)/r! |
Ω |
0.9745942963254 |
Real period |
R |
0.24027957848241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275fn1 40425v1 40425bm1 |
Quadratic twists by: -3 5 -7 |