Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400br |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-6235894720000000 = -1 · 212 · 57 · 117 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,39325,2329250] |
[a1,a2,a3,a4,a6] |
Generators |
[265:5600:1] |
Generators of the group modulo torsion |
j |
59319/55 |
j-invariant |
L |
5.8110757463798 |
L(r)(E,1)/r! |
Ω |
0.27741163022217 |
Real period |
R |
2.6184355274302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3025b1 9680w1 4400q1 |
Quadratic twists by: -4 5 -11 |