Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30324h |
Isogeny class |
Conductor |
30324 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-95908761994109232 = -1 · 24 · 3 · 76 · 198 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 -6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,89047,10865124] |
[a1,a2,a3,a4,a6] |
j |
103737344000/127413867 |
j-invariant |
L |
0.45233065833436 |
L(r)(E,1)/r! |
Ω |
0.22616532916805 |
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 |
121296cf1 90972a1 1596b1 |
Quadratic twists by: -4 -3 -19 |