Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
37080k |
Isogeny class |
Conductor |
37080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5888 |
Modular degree for the optimal curve |
Δ |
27810000 = 24 · 33 · 54 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78,77] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:15:1] |
Generators of the group modulo torsion |
j |
121485312/64375 |
j-invariant |
L |
5.2541537605581 |
L(r)(E,1)/r! |
Ω |
1.8451559976753 |
Real period |
R |
1.4237695260395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74160a1 37080c1 |
Quadratic twists by: -4 -3 |