Atkin-Lehner |
2+ 5+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
58520b |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2883865600 = -1 · 210 · 52 · 72 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,277,1878] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:40:1] |
Generators of the group modulo torsion |
j |
2295424764/2816275 |
j-invariant |
L |
4.5444890801413 |
L(r)(E,1)/r! |
Ω |
0.95766789837984 |
Real period |
R |
1.1863426475411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040g2 |
Quadratic twists by: -4 |