Atkin-Lehner |
2- 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550dl |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1709568 |
Modular degree for the optimal curve |
Δ |
-2197910285321782500 = -1 · 22 · 33 · 54 · 73 · 377 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -3 -3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63830,-71582103] |
[a1,a2,a3,a4,a6] |
Generators |
[3449:200085:1] |
Generators of the group modulo torsion |
j |
-1704308010376275/130246535426476 |
j-invariant |
L |
8.6082125708386 |
L(r)(E,1)/r! |
Ω |
0.11471647369123 |
Real period |
R |
6.2532522287003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550p1 116550n1 |
Quadratic twists by: -3 5 |