Atkin-Lehner |
2- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37030p |
Isogeny class |
Conductor |
37030 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
186856820531360000 = 28 · 54 · 73 · 237 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-157477,12123101] |
[a1,a2,a3,a4,a6] |
j |
2917464019569/1262240000 |
j-invariant |
L |
2.303149943796 |
L(r)(E,1)/r! |
Ω |
0.28789374297191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1610c1 |
Quadratic twists by: -23 |