Atkin-Lehner |
2- 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
58140a |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3605610240 = 28 · 33 · 5 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28863,1887382] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:1938:1] |
Generators of the group modulo torsion |
j |
384719669306352/521645 |
j-invariant |
L |
4.6579010607339 |
L(r)(E,1)/r! |
Ω |
1.1903218610377 |
Real period |
R |
1.9565720890566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58140b2 |
Quadratic twists by: -3 |