Atkin-Lehner |
3- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
18615g |
Isogeny class |
Conductor |
18615 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
-93075 = -1 · 3 · 52 · 17 · 73 |
Discriminant |
Eigenvalues |
2 3- 5+ -5 -2 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16,-35] |
[a1,a2,a3,a4,a6] |
j |
-481890304/93075 |
j-invariant |
L |
2.3502826996978 |
L(r)(E,1)/r! |
Ω |
1.1751413498489 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55845n1 93075i1 |
Quadratic twists by: -3 5 |