Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608ez |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
14597487107739648 = 212 · 313 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 6 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-490404,-132056192] |
[a1,a2,a3,a4,a6] |
j |
4368157081239232/4888668897 |
j-invariant |
L |
4.330135461036 |
L(r)(E,1)/r! |
Ω |
0.18042230924706 |
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 |
76608eh1 38304y1 25536dh1 |
Quadratic twists by: -4 8 -3 |