Atkin-Lehner |
2+ 5+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45650d |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-891601562500 = -1 · 22 · 512 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 11- 3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,125,-45375] |
[a1,a2,a3,a4,a6] |
j |
13651919/57062500 |
j-invariant |
L |
1.6426025532311 |
L(r)(E,1)/r! |
Ω |
0.41065063832781 |
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 |
9130k1 |
Quadratic twists by: 5 |