Atkin-Lehner |
2- 3+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880bp |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-61260622946611200 = -1 · 212 · 311 · 52 · 72 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 0 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,59355,10507725] |
[a1,a2,a3,a4,a6] |
j |
5645837515526144/14956206774075 |
j-invariant |
L |
2.9466603317672 |
L(r)(E,1)/r! |
Ω |
0.245555028562 |
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 |
4305n1 |
Quadratic twists by: -4 |