Atkin-Lehner |
2+ 3+ 37- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
47064a |
Isogeny class |
Conductor |
47064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2155154688 = 28 · 34 · 37 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 -4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-356,1428] |
[a1,a2,a3,a4,a6] |
j |
19545784144/8418573 |
j-invariant |
L |
2.6421926663649 |
L(r)(E,1)/r! |
Ω |
1.3210963332138 |
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 |
94128d2 |
Quadratic twists by: -4 |