Atkin-Lehner |
2- 5- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
91120n |
Isogeny class |
Conductor |
91120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1104514593587200 = -1 · 227 · 52 · 173 · 67 |
Discriminant |
Eigenvalues |
2- 0 5- -1 2 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14173,1461154] |
[a1,a2,a3,a4,a6] |
Generators |
[543:13010:1] |
Generators of the group modulo torsion |
j |
76868627284359/269656883200 |
j-invariant |
L |
6.8764854887154 |
L(r)(E,1)/r! |
Ω |
0.34742644253205 |
Real period |
R |
4.9481592692189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11390e1 |
Quadratic twists by: -4 |