Atkin-Lehner |
7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37583b |
Isogeny class |
Conductor |
37583 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-37267791379 = -1 · 77 · 13 · 592 |
Discriminant |
Eigenvalues |
0 -2 -1 7- 2 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-261,9342] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:829:8] [10:88:1] |
Generators of the group modulo torsion |
j |
-16777216/316771 |
j-invariant |
L |
5.1730585986583 |
L(r)(E,1)/r! |
Ω |
0.97261146350728 |
Real period |
R |
1.329682713178 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5369c1 |
Quadratic twists by: -7 |