Atkin-Lehner |
2+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190i |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
332640 |
Modular degree for the optimal curve |
Δ |
-126102891685760 = -1 · 27 · 5 · 113 · 236 |
Discriminant |
Eigenvalues |
2+ 1 5- -5 11+ 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-46828,-3941462] |
[a1,a2,a3,a4,a6] |
Generators |
[643055806:-156048710:2571353] |
Generators of the group modulo torsion |
j |
-76711450249/851840 |
j-invariant |
L |
4.0970571962449 |
L(r)(E,1)/r! |
Ω |
0.16216492430079 |
Real period |
R |
12.632377852385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110c1 |
Quadratic twists by: -23 |