Atkin-Lehner |
2+ 3- 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22134w |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
144490752 = 28 · 32 · 7 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-277,-1696] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:8:1] |
Generators of the group modulo torsion |
j |
2338337977417/144490752 |
j-invariant |
L |
4.1144020861748 |
L(r)(E,1)/r! |
Ω |
1.1752891071653 |
Real period |
R |
1.7503787200489 |
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 |
66402bq1 |
Quadratic twists by: -3 |