Atkin-Lehner |
2+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
61088b |
Isogeny class |
Conductor |
61088 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-10240604535488 = -1 · 26 · 234 · 833 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 -5 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66198,-6535436] |
[a1,a2,a3,a4,a6] |
Generators |
[355:3818:1] |
Generators of the group modulo torsion |
j |
-501285225055672000/160009445867 |
j-invariant |
L |
3.2984187225431 |
L(r)(E,1)/r! |
Ω |
0.14881594937054 |
Real period |
R |
0.92351736508533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61088d1 122176q1 |
Quadratic twists by: -4 8 |