Atkin-Lehner |
17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37553a |
Isogeny class |
Conductor |
37553 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-900290843493409 = -1 · 174 · 476 |
Discriminant |
Eigenvalues |
-1 0 2 4 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1519,1444168] |
[a1,a2,a3,a4,a6] |
Generators |
[3988:78639:64] |
Generators of the group modulo torsion |
j |
-35937/83521 |
j-invariant |
L |
4.7142067929249 |
L(r)(E,1)/r! |
Ω |
0.4005072131156 |
Real period |
R |
5.8852957431808 |
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 |
17a1 |
Quadratic twists by: -47 |