Atkin-Lehner |
2- 3+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89700o |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1324800 |
Modular degree for the optimal curve |
Δ |
-2145161596500000000 = -1 · 28 · 315 · 59 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 5 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,308292,24891912] |
[a1,a2,a3,a4,a6] |
j |
6480955875184/4290323193 |
j-invariant |
L |
1.3072318645267 |
L(r)(E,1)/r! |
Ω |
0.16340399593309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89700ba1 |
Quadratic twists by: 5 |