Atkin-Lehner |
3+ 5- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
22695a |
Isogeny class |
Conductor |
22695 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
5787225 = 32 · 52 · 172 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 0 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45,-30] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:8:1] |
Generators of the group modulo torsion |
j |
10091699281/5787225 |
j-invariant |
L |
2.5165545169105 |
L(r)(E,1)/r! |
Ω |
2.0002902022951 |
Real period |
R |
0.62904735373472 |
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 |
68085f1 113475p1 |
Quadratic twists by: -3 5 |