Atkin-Lehner |
2- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
8930l |
Isogeny class |
Conductor |
8930 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
5904 |
Modular degree for the optimal curve |
Δ |
1972637000 = 23 · 53 · 19 · 473 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -3 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-941,10825] |
[a1,a2,a3,a4,a6] |
j |
92155535561809/1972637000 |
j-invariant |
L |
1.4747429376516 |
L(r)(E,1)/r! |
Ω |
1.4747429376516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
71440g1 80370v1 44650h1 |
Quadratic twists by: -4 -3 5 |