Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710bb |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-27045421937430 = -1 · 2 · 3 · 5 · 133 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 3 13- 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5064,285652] |
[a1,a2,a3,a4,a6] |
Generators |
[58:404:1] |
Generators of the group modulo torsion |
j |
-594823321/1120470 |
j-invariant |
L |
6.3501386796883 |
L(r)(E,1)/r! |
Ω |
0.59518747278461 |
Real period |
R |
1.778190060801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999829533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630g1 |
Quadratic twists by: 17 |