Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fy |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15966720 |
Modular degree for the optimal curve |
Δ |
-6.5067421415916E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 1 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43375208,403386348912] |
[a1,a2,a3,a4,a6] |
Generators |
[1340005452:320711080704:571787] |
Generators of the group modulo torsion |
j |
-5591213575/40310784 |
j-invariant |
L |
5.0974925475365 |
L(r)(E,1)/r! |
Ω |
0.053287485266292 |
Real period |
R |
11.957527461564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350bb1 58800ka1 58800is1 |
Quadratic twists by: -4 5 -7 |