Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400bo |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-5952000 = -1 · 29 · 3 · 53 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 5 -4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3888,92028] |
[a1,a2,a3,a4,a6] |
j |
-101586080296/93 |
j-invariant |
L |
4.005103134582 |
L(r)(E,1)/r! |
Ω |
2.0025515678955 |
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 |
74400ca1 74400ce1 |
Quadratic twists by: -4 5 |