Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
98568h |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-766464768 = -1 · 28 · 37 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 4 -1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,-1406] |
[a1,a2,a3,a4,a6] |
j |
-592/3 |
j-invariant |
L |
2.6539956244961 |
L(r)(E,1)/r! |
Ω |
0.66349887980973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32856n1 98568s1 |
Quadratic twists by: -3 37 |