Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
15150bm |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-406679715840000000 = -1 · 234 · 3 · 57 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -1 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-748313,-251101383] |
[a1,a2,a3,a4,a6] |
j |
-2965880116461979081/26027501813760 |
j-invariant |
L |
5.5160758980523 |
L(r)(E,1)/r! |
Ω |
0.081118763206651 |
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 |
121200cg1 45450q1 3030e1 |
Quadratic twists by: -4 -3 5 |