Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550fq |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19814400 |
Modular degree for the optimal curve |
Δ |
-5.0404405042693E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -3 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12622055,38274287447] |
[a1,a2,a3,a4,a6] |
Generators |
[-4524861:274663640:1331] |
Generators of the group modulo torsion |
j |
-156191112157474421/354006246664728 |
j-invariant |
L |
9.5171349484728 |
L(r)(E,1)/r! |
Ω |
0.082470909906633 |
Real period |
R |
9.6166585268271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850bp1 116550cr1 |
Quadratic twists by: -3 5 |