Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800jb |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-18816000000 = -1 · 213 · 3 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 0 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,7188] |
[a1,a2,a3,a4,a6] |
j |
-2401/6 |
j-invariant |
L |
2.1629192717465 |
L(r)(E,1)/r! |
Ω |
1.0814596375688 |
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 |
7350j1 2352l1 58800fa1 |
Quadratic twists by: -4 5 -7 |