Atkin-Lehner |
2+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44770c |
Isogeny class |
Conductor |
44770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
312000 |
Modular degree for the optimal curve |
Δ |
-1689045090017120 = -1 · 25 · 5 · 1111 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5+ -5 11- 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,21051,1591632] |
[a1,a2,a3,a4,a6] |
j |
582392067551/953421920 |
j-invariant |
L |
0.64563239928086 |
L(r)(E,1)/r! |
Ω |
0.32281619959401 |
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 |
4070d1 |
Quadratic twists by: -11 |