Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114660j |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-375853318042129200 = -1 · 24 · 39 · 52 · 710 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-269892,61502301] |
[a1,a2,a3,a4,a6] |
j |
-58680557568/10144225 |
j-invariant |
L |
2.3195097178777 |
L(r)(E,1)/r! |
Ω |
0.28993872388299 |
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 |
114660c1 16380a1 |
Quadratic twists by: -3 -7 |