Atkin-Lehner |
2+ 5- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050bj |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
355840 |
Modular degree for the optimal curve |
Δ |
-7913500000000 = -1 · 28 · 59 · 72 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -6 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3826,-163452] |
[a1,a2,a3,a4,a6] |
Generators |
[93:489:1] |
Generators of the group modulo torsion |
j |
-3170044709/4051712 |
j-invariant |
L |
2.0348746713604 |
L(r)(E,1)/r! |
Ω |
0.28964183710226 |
Real period |
R |
3.5127429862307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113050cn1 |
Quadratic twists by: 5 |