Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
28830t |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-68460187944683520 = -1 · 211 · 35 · 5 · 317 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -3 2 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,93677,-6049042] |
[a1,a2,a3,a4,a6] |
j |
102437538839/77137920 |
j-invariant |
L |
1.9414813529155 |
L(r)(E,1)/r! |
Ω |
0.19414813529158 |
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 |
86490cg1 930c1 |
Quadratic twists by: -3 -31 |