Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200cp |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
725625000000 = 26 · 33 · 510 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9258,-343512] |
[a1,a2,a3,a4,a6] |
j |
87765160384/725625 |
j-invariant |
L |
2.9216900520678 |
L(r)(E,1)/r! |
Ω |
0.48694838249978 |
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 |
103200a1 20640d1 |
Quadratic twists by: -4 5 |