Atkin-Lehner |
3+ 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905f |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-750165446559375 = -1 · 39 · 55 · 72 · 114 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,22260,314531] |
[a1,a2,a3,a4,a6] |
j |
61972201625517/38112353125 |
j-invariant |
L |
1.2484521942808 |
L(r)(E,1)/r! |
Ω |
0.31211304903354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58905l1 |
Quadratic twists by: -3 |