Atkin-Lehner |
2+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37030k |
Isogeny class |
Conductor |
37030 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-1096353793934000 = -1 · 24 · 53 · 7 · 238 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 3 2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,24587,581488] |
[a1,a2,a3,a4,a6] |
j |
20991479/14000 |
j-invariant |
L |
2.4616553207601 |
L(r)(E,1)/r! |
Ω |
0.30770691509474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
37030b1 |
Quadratic twists by: -23 |