Atkin-Lehner |
2+ 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650k |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1576137418945312500 = -1 · 22 · 33 · 512 · 173 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -3 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,162975,54905625] |
[a1,a2,a3,a4,a6] |
Generators |
[200:-9875:1] |
Generators of the group modulo torsion |
j |
30638146714114031/100872794812500 |
j-invariant |
L |
4.0834188372734 |
L(r)(E,1)/r! |
Ω |
0.18916397793983 |
Real period |
R |
0.5996294974494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11730l2 |
Quadratic twists by: 5 |