Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560dp |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-899481600000 = -1 · 219 · 32 · 55 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2079,-26721] |
[a1,a2,a3,a4,a6] |
j |
3789119879/3431250 |
j-invariant |
L |
3.8881410631397 |
L(r)(E,1)/r! |
Ω |
0.48601763338847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560l1 14640z1 |
Quadratic twists by: -4 8 |