Atkin-Lehner |
2- 3- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
37380g |
Isogeny class |
Conductor |
37380 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
467250000 = 24 · 3 · 56 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-581,5100] |
[a1,a2,a3,a4,a6] |
Generators |
[21:51:1] |
Generators of the group modulo torsion |
j |
1357936328704/29203125 |
j-invariant |
L |
6.2131912792346 |
L(r)(E,1)/r! |
Ω |
1.662726522768 |
Real period |
R |
2.4911658428313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112140m1 |
Quadratic twists by: -3 |