Atkin-Lehner |
2+ 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200g |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
121406709060000000 = 28 · 34 · 57 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-123908,-854688] |
[a1,a2,a3,a4,a6] |
j |
52597519950544/30351677265 |
j-invariant |
L |
2.2207636316233 |
L(r)(E,1)/r! |
Ω |
0.27759541947434 |
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 |
54600ck1 21840o1 |
Quadratic twists by: -4 5 |