Atkin-Lehner |
2+ 3+ 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
116850t |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1184000 |
Modular degree for the optimal curve |
Δ |
-77388321761718750 = -1 · 2 · 32 · 59 · 19 · 415 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -3 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,38675,-13044125] |
[a1,a2,a3,a4,a6] |
Generators |
[385:-7880:1] [6885:568120:1] |
Generators of the group modulo torsion |
j |
3275420737051/39622820742 |
j-invariant |
L |
6.5305091165265 |
L(r)(E,1)/r! |
Ω |
0.16884998547804 |
Real period |
R |
1.9338198633544 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116850cs1 |
Quadratic twists by: 5 |