Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376bi |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
429183552 = 26 · 3 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-898,-10016] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1960:1] |
Generators of the group modulo torsion |
j |
10648000/57 |
j-invariant |
L |
5.6253444432401 |
L(r)(E,1)/r! |
Ω |
0.87232865912083 |
Real period |
R |
3.2243262784398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376v1 1824j1 |
Quadratic twists by: -4 -7 |