Atkin-Lehner |
2- 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
2370n |
Isogeny class |
Conductor |
2370 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-63990000 = -1 · 24 · 34 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,100,0] |
[a1,a2,a3,a4,a6] |
j |
110522894399/63990000 |
j-invariant |
L |
4.6771743641965 |
L(r)(E,1)/r! |
Ω |
1.1692935910491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18960p1 75840e1 7110i1 11850d1 |
Quadratic twists by: -4 8 -3 5 |