Atkin-Lehner |
3- 5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
58425o |
Isogeny class |
Conductor |
58425 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-56353651171875 = -1 · 33 · 58 · 194 · 41 |
Discriminant |
Eigenvalues |
2 3- 5- 0 0 -6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10458,-551131] |
[a1,a2,a3,a4,a6] |
j |
-323855380480/144265347 |
j-invariant |
L |
4.1591788238687 |
L(r)(E,1)/r! |
Ω |
0.23106549035996 |
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 |
58425c1 |
Quadratic twists by: 5 |