Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350bi |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-7841707200 = -1 · 26 · 310 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 1 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-140,-4273] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-179:1] |
Generators of the group modulo torsion |
j |
-16539745/430272 |
j-invariant |
L |
9.1353745687488 |
L(r)(E,1)/r! |
Ω |
0.57028304165648 |
Real period |
R |
0.66745910228283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12450i1 37350y1 |
Quadratic twists by: -3 5 |