Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800du |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-5292000000 = -1 · 28 · 33 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 -3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-233,-3837] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1275:1] |
Generators of the group modulo torsion |
j |
-7168/27 |
j-invariant |
L |
8.4523025913715 |
L(r)(E,1)/r! |
Ω |
0.55888500015453 |
Real period |
R |
2.5205849112573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cz1 2352e1 58800m1 |
Quadratic twists by: -4 5 -7 |