Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850ev |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1090766250000 = 24 · 38 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28355,1844147] |
[a1,a2,a3,a4,a6] |
j |
221335335649/95760 |
j-invariant |
L |
3.4321159542723 |
L(r)(E,1)/r! |
Ω |
0.85802898933549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19950s1 11970bb1 |
Quadratic twists by: -3 5 |