Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800bl |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
786240 |
Modular degree for the optimal curve |
Δ |
-643245907500000000 = -1 · 28 · 37 · 510 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 -3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-285833,70442037] |
[a1,a2,a3,a4,a6] |
j |
-8780800/2187 |
j-invariant |
L |
2.4694803723177 |
L(r)(E,1)/r! |
Ω |
0.27438670792175 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400eg1 58800er1 1200h1 |
Quadratic twists by: -4 5 -7 |