Atkin-Lehner |
2- 3+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650bv |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
29220951234375000 = 23 · 314 · 59 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2079638,1153433531] |
[a1,a2,a3,a4,a6] |
j |
509280349689156941/14961127032 |
j-invariant |
L |
4.1641828155923 |
L(r)(E,1)/r! |
Ω |
0.34701523432661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58650bc2 |
Quadratic twists by: 5 |