Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108300cc |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
40612500000000 = 28 · 32 · 511 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 4 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10133,241863] |
[a1,a2,a3,a4,a6] |
j |
79691776/28125 |
j-invariant |
L |
4.7341876540067 |
L(r)(E,1)/r! |
Ω |
0.59177345448952 |
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 |
21660p1 108300e1 |
Quadratic twists by: 5 -19 |