Atkin-Lehner |
2+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18326p |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1552320 |
Modular degree for the optimal curve |
Δ |
4.6583034444703E+22 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 11- 3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14409652,18313464964] |
[a1,a2,a3,a4,a6] |
Generators |
[866:80092:1] |
Generators of the group modulo torsion |
j |
1171396025691605833/164910145613158 |
j-invariant |
L |
3.7147447401336 |
L(r)(E,1)/r! |
Ω |
0.10895436242861 |
Real period |
R |
1.5497500960833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18326f1 |
Quadratic twists by: -7 |