Atkin-Lehner |
2+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
18326f |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
395949259617192358 = 2 · 74 · 1111 · 172 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ 11- -3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-294074,-53518058] |
[a1,a2,a3,a4,a6] |
Generators |
[671:6864:1] |
Generators of the group modulo torsion |
j |
1171396025691605833/164910145613158 |
j-invariant |
L |
3.3474327802839 |
L(r)(E,1)/r! |
Ω |
0.20693444243445 |
Real period |
R |
0.24509539297798 |
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 |
18326p1 |
Quadratic twists by: -7 |