Atkin-Lehner |
2- 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68672y |
Isogeny class |
Conductor |
68672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1991488 = 26 · 292 · 37 |
Discriminant |
Eigenvalues |
2- -1 4 1 -3 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-181,-877] |
[a1,a2,a3,a4,a6] |
Generators |
[-970:29:125] |
Generators of the group modulo torsion |
j |
10303307776/31117 |
j-invariant |
L |
7.5485718266503 |
L(r)(E,1)/r! |
Ω |
1.3012447521307 |
Real period |
R |
2.900519604251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68672g1 17168l1 |
Quadratic twists by: -4 8 |