Atkin-Lehner |
2- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38480v |
Isogeny class |
Conductor |
38480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
597168226304000 = 228 · 53 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 0 5- 0 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-742907,-246459094] |
[a1,a2,a3,a4,a6] |
Generators |
[1526:46620:1] |
Generators of the group modulo torsion |
j |
11070496924384049361/145793024000 |
j-invariant |
L |
5.6660900649079 |
L(r)(E,1)/r! |
Ω |
0.16261712745931 |
Real period |
R |
5.8071886947313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4810h1 |
Quadratic twists by: -4 |