Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1694g |
Isogeny class |
Conductor |
1694 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7638971032 = 23 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 11- -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56772,-5192305] |
[a1,a2,a3,a4,a6] |
j |
11422548526761/4312 |
j-invariant |
L |
1.8557431409237 |
L(r)(E,1)/r! |
Ω |
0.30929052348728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13552n2 54208bf2 15246y2 42350e2 |
Quadratic twists by: -4 8 -3 5 |