Atkin-Lehner |
2+ 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16872b |
Isogeny class |
Conductor |
16872 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
41760 |
Modular degree for the optimal curve |
Δ |
-8094936164352 = -1 · 211 · 3 · 19 · 375 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -6 -2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12632,559152] |
[a1,a2,a3,a4,a6] |
j |
-108854024666546/3952605549 |
j-invariant |
L |
3.6652957332005 |
L(r)(E,1)/r! |
Ω |
0.7330591466401 |
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 |
33744b1 50616h1 |
Quadratic twists by: -4 -3 |