Atkin-Lehner |
2+ 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170l |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
11292360740870400 = 28 · 38 · 52 · 234 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11807280,-15613159424] |
[a1,a2,a3,a4,a6] |
j |
249715667482299567809281/15490206777600 |
j-invariant |
L |
2.6062259602523 |
L(r)(E,1)/r! |
Ω |
0.081444561426239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21390k2 |
Quadratic twists by: -3 |