Atkin-Lehner |
2- 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38350x |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-3115937500 = -1 · 22 · 57 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-63,-2719] |
[a1,a2,a3,a4,a6] |
Generators |
[2580:14653:64] |
Generators of the group modulo torsion |
j |
-1771561/199420 |
j-invariant |
L |
11.778649654041 |
L(r)(E,1)/r! |
Ω |
0.62961327021677 |
Real period |
R |
4.6769382934001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7670b1 |
Quadratic twists by: 5 |