Atkin-Lehner |
2- 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27824d |
Isogeny class |
Conductor |
27824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22848 |
Modular degree for the optimal curve |
Δ |
-933618515968 = -1 · 229 · 37 · 47 |
Discriminant |
Eigenvalues |
2- 0 -2 1 0 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4211,114994] |
[a1,a2,a3,a4,a6] |
j |
-2016134440137/227934208 |
j-invariant |
L |
1.7182681742497 |
L(r)(E,1)/r! |
Ω |
0.85913408712529 |
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 |
3478a1 111296g1 |
Quadratic twists by: -4 8 |