Atkin-Lehner |
5- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
18655h |
Isogeny class |
Conductor |
18655 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14016 |
Modular degree for the optimal curve |
Δ |
-407667715 = -1 · 5 · 7 · 132 · 413 |
Discriminant |
Eigenvalues |
2 2 5- 7- -2 13- 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-390,3253] |
[a1,a2,a3,a4,a6] |
Generators |
[106:119:8] |
Generators of the group modulo torsion |
j |
-6577042272256/407667715 |
j-invariant |
L |
14.529197109085 |
L(r)(E,1)/r! |
Ω |
1.6578834930049 |
Real period |
R |
1.4606170226866 |
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 |
93275c1 |
Quadratic twists by: 5 |