Atkin-Lehner |
2+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190n |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
6359040 |
Modular degree for the optimal curve |
Δ |
-1.722841676182E+21 |
Discriminant |
Eigenvalues |
2+ -2 5- 5 11+ -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19320943,32747502306] |
[a1,a2,a3,a4,a6] |
Generators |
[1495:84132:1] |
Generators of the group modulo torsion |
j |
-10185584345936041/22000000000 |
j-invariant |
L |
4.1472767750164 |
L(r)(E,1)/r! |
Ω |
0.14950943735446 |
Real period |
R |
4.6232051171498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999953 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
58190h1 |
Quadratic twists by: -23 |