Atkin-Lehner |
2+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
37840h |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
9460000000 = 28 · 57 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3 5- -2 11- -1 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-892,-9124] |
[a1,a2,a3,a4,a6] |
j |
306604348416/36953125 |
j-invariant |
L |
6.1633727094782 |
L(r)(E,1)/r! |
Ω |
0.88048181565166 |
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 |
18920g1 |
Quadratic twists by: -4 |