Atkin-Lehner |
2+ 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
39840d |
Isogeny class |
Conductor |
39840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-165336000 = -1 · 26 · 3 · 53 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,70,-600] |
[a1,a2,a3,a4,a6] |
Generators |
[15:60:1] |
Generators of the group modulo torsion |
j |
584277056/2583375 |
j-invariant |
L |
5.4103662470719 |
L(r)(E,1)/r! |
Ω |
0.9165056901684 |
Real period |
R |
1.9677514662875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39840l1 79680o1 119520q1 |
Quadratic twists by: -4 8 -3 |