Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200ct |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-669222000 = -1 · 24 · 39 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -1 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6555,-204275] |
[a1,a2,a3,a4,a6] |
j |
-21364083968/459 |
j-invariant |
L |
1.0611720846475 |
L(r)(E,1)/r! |
Ω |
0.26529302095334 |
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 |
30600cv1 20400bo1 61200cg1 |
Quadratic twists by: -4 -3 5 |