Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800df |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
2971318800 = 24 · 3 · 52 · 195 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 4 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1838,-30837] |
[a1,a2,a3,a4,a6] |
j |
1717657250560/7428297 |
j-invariant |
L |
3.6465023185009 |
L(r)(E,1)/r! |
Ω |
0.72930046370017 |
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 |
5700a1 91200fe1 68400ff1 22800cq1 |
Quadratic twists by: -4 8 -3 5 |