Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400dp |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
10444800000000 = 219 · 3 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8208,237588] |
[a1,a2,a3,a4,a6] |
j |
38226865/6528 |
j-invariant |
L |
4.133920113927 |
L(r)(E,1)/r! |
Ω |
0.68898668565451 |
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 |
2550w1 81600ha1 61200hg1 20400ce1 |
Quadratic twists by: -4 8 -3 5 |