Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440ep |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-19897151040 = -1 · 26 · 314 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,537,4808] |
[a1,a2,a3,a4,a6] |
j |
367061696/426465 |
j-invariant |
L |
3.2477731717109 |
L(r)(E,1)/r! |
Ω |
0.81194329292323 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440es1 18720bm4 12480ci1 |
Quadratic twists by: -4 8 -3 |