Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
23400x |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
1213056000 = 210 · 36 · 53 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-315,1350] |
[a1,a2,a3,a4,a6] |
j |
37044/13 |
j-invariant |
L |
2.8211934418595 |
L(r)(E,1)/r! |
Ω |
1.4105967209298 |
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 |
46800bt1 2600l1 23400br1 |
Quadratic twists by: -4 -3 5 |