Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
15150bp |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-8426170349121093750 = -1 · 2 · 37 · 519 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 2 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,387437,104383367] |
[a1,a2,a3,a4,a6] |
j |
411629883108940439/539274902343750 |
j-invariant |
L |
4.3815094691581 |
L(r)(E,1)/r! |
Ω |
0.15648248104136 |
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 |
121200cd1 45450v1 3030d1 |
Quadratic twists by: -4 -3 5 |