Atkin-Lehner |
2- 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
58140a |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-23926935600 = -1 · 24 · 33 · 52 · 17 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1788,30037] |
[a1,a2,a3,a4,a6] |
Generators |
[27:38:1] |
Generators of the group modulo torsion |
j |
-1463330783232/55386425 |
j-invariant |
L |
4.6579010607339 |
L(r)(E,1)/r! |
Ω |
1.1903218610377 |
Real period |
R |
0.97828604452832 |
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 |
58140b1 |
Quadratic twists by: -3 |