Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108300cj |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1814400 |
Modular degree for the optimal curve |
Δ |
-214167480468750000 = -1 · 24 · 35 · 516 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 6 -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,101967,18437688] |
[a1,a2,a3,a4,a6] |
j |
1299125682176/2373046875 |
j-invariant |
L |
6.5105703462051 |
L(r)(E,1)/r! |
Ω |
0.21701900328574 |
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 |
21660j1 108300l1 |
Quadratic twists by: 5 -19 |