Atkin-Lehner |
2+ 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950x |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
1161562500 = 22 · 32 · 57 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1026,12448] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-129:1] |
Generators of the group modulo torsion |
j |
7633736209/74340 |
j-invariant |
L |
4.8313928868326 |
L(r)(E,1)/r! |
Ω |
1.5493484924682 |
Real period |
R |
0.77958459806549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390p1 |
Quadratic twists by: 5 |