Atkin-Lehner |
2+ 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410f |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-6714922417587481680 = -1 · 24 · 36 · 5 · 115 · 595 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1395225,646813885] |
[a1,a2,a3,a4,a6] |
Generators |
[-858:35239:1] |
Generators of the group modulo torsion |
j |
-412030255216922643601/9211141862259920 |
j-invariant |
L |
4.420644581219 |
L(r)(E,1)/r! |
Ω |
0.23679630878746 |
Real period |
R |
1.8668553592788 |
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 |
6490g2 |
Quadratic twists by: -3 |