Atkin-Lehner |
2- 3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410bd |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
4546560 |
Modular degree for the optimal curve |
Δ |
-2.1671356282563E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4345537,-6166162969] |
[a1,a2,a3,a4,a6] |
j |
12448775463334058208599/29727512047411200000 |
j-invariant |
L |
3.0001836508883 |
L(r)(E,1)/r! |
Ω |
0.062503826002215 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470o1 |
Quadratic twists by: -3 |