Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30056h |
Isogeny class |
Conductor |
30056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
24666278311376 = 24 · 13 · 179 |
Discriminant |
Eigenvalues |
2- 2 2 4 4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22927,-1307040] |
[a1,a2,a3,a4,a6] |
j |
702464/13 |
j-invariant |
L |
6.2146851676865 |
L(r)(E,1)/r! |
Ω |
0.38841782298033 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60112g1 30056k1 |
Quadratic twists by: -4 17 |