Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3978a |
Isogeny class |
Conductor |
3978 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4600221320448 = 28 · 314 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 2 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-160002,-24593900] |
[a1,a2,a3,a4,a6] |
j |
621403856941038625/6310317312 |
j-invariant |
L |
0.95483500139483 |
L(r)(E,1)/r! |
Ω |
0.23870875034871 |
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 |
31824t2 127296w2 1326d2 99450di2 |
Quadratic twists by: -4 8 -3 5 |