Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
944h |
Isogeny class |
Conductor |
944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-247463936 = -1 · 222 · 59 |
Discriminant |
Eigenvalues |
2- 1 1 -3 -2 -6 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-400,-3308] |
[a1,a2,a3,a4,a6] |
Generators |
[66:512:1] |
Generators of the group modulo torsion |
j |
-1732323601/60416 |
j-invariant |
L |
2.6349557864029 |
L(r)(E,1)/r! |
Ω |
0.53256762653586 |
Real period |
R |
1.2369113588176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118b1 3776m1 8496o1 23600u1 |
Quadratic twists by: -4 8 -3 5 |