Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650cz |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
2787840 |
Modular degree for the optimal curve |
Δ |
2.89813207112E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 5 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-800680,94851947] |
[a1,a2,a3,a4,a6] |
j |
677951505/346112 |
j-invariant |
L |
4.0729762706116 |
L(r)(E,1)/r! |
Ω |
0.18513528556605 |
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 |
78650k1 78650bh1 |
Quadratic twists by: 5 -11 |