Atkin-Lehner |
2+ 3- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17670c |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1922081108400 = 24 · 36 · 52 · 193 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-585389,172342136] |
[a1,a2,a3,a4,a6] |
j |
22184840864531978453449/1922081108400 |
j-invariant |
L |
2.5458388752687 |
L(r)(E,1)/r! |
Ω |
0.63645971881718 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
53010bv2 88350cc2 |
Quadratic twists by: -3 5 |