Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
109520q |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5370624 |
Modular degree for the optimal curve |
Δ |
8.3175513468849E+21 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -3 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7564181,-6700633981] |
[a1,a2,a3,a4,a6] |
Generators |
[-38085110952014:372889393801135:18948744296] |
Generators of the group modulo torsion |
j |
89915392/15625 |
j-invariant |
L |
6.6739020142396 |
L(r)(E,1)/r! |
Ω |
0.092116700276489 |
Real period |
R |
18.112627770556 |
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 |
6845b1 109520be1 |
Quadratic twists by: -4 37 |