Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800gg |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-7115411520000000000 = -1 · 215 · 33 · 510 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,479792,-10561088] |
[a1,a2,a3,a4,a6] |
Generators |
[306:12838:1] |
Generators of the group modulo torsion |
j |
2595575/1512 |
j-invariant |
L |
4.0488106430837 |
L(r)(E,1)/r! |
Ω |
0.13932237088056 |
Real period |
R |
3.6325920035344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350cr1 58800kg1 8400cj1 |
Quadratic twists by: -4 5 -7 |