Atkin-Lehner |
5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37975f |
Isogeny class |
Conductor |
37975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-61830064296875 = -1 · 57 · 77 · 312 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- -5 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-408,378468] |
[a1,a2,a3,a4,a6] |
Generators |
[61:759:1] [-63:387:1] |
Generators of the group modulo torsion |
j |
-4096/33635 |
j-invariant |
L |
3.4587229638506 |
L(r)(E,1)/r! |
Ω |
0.49859002283672 |
Real period |
R |
0.21678149916721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7595a1 5425i1 |
Quadratic twists by: 5 -7 |