Atkin-Lehner |
3- 5+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
22695d |
Isogeny class |
Conductor |
22695 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-111500535 = -1 · 3 · 5 · 174 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69,547] |
[a1,a2,a3,a4,a6] |
Generators |
[-38000:99461:4096] |
Generators of the group modulo torsion |
j |
-35578826569/111500535 |
j-invariant |
L |
6.8662057131854 |
L(r)(E,1)/r! |
Ω |
1.6470794245572 |
Real period |
R |
8.3374312262217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68085l1 113475f1 |
Quadratic twists by: -3 5 |