Atkin-Lehner |
2+ 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410f |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-1550322892800000 = -1 · 220 · 36 · 55 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12375,-1821875] |
[a1,a2,a3,a4,a6] |
Generators |
[8680062:148888769:29791] |
Generators of the group modulo torsion |
j |
287482932197999/2126643200000 |
j-invariant |
L |
4.420644581219 |
L(r)(E,1)/r! |
Ω |
0.23679630878746 |
Real period |
R |
9.3342767963941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6490g1 |
Quadratic twists by: -3 |