Atkin-Lehner |
3+ 5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116025s |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-78316875 = -1 · 34 · 54 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ 3 13- 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-33,443] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:22:1] |
Generators of the group modulo torsion |
j |
-6553600/125307 |
j-invariant |
L |
3.6463295695478 |
L(r)(E,1)/r! |
Ω |
1.6254055063327 |
Real period |
R |
0.37388921438641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000116872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116025bj1 |
Quadratic twists by: 5 |