Atkin-Lehner |
11+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
121847d |
Isogeny class |
Conductor |
121847 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
19666944 |
Modular degree for the optimal curve |
Δ |
-8.7530468004827E+23 |
Discriminant |
Eigenvalues |
2 1 1 -2 11+ -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-26558330,-69300954563] |
[a1,a2,a3,a4,a6] |
Generators |
[7388430:1349699111:216] [61319610:5261545997:5832] |
Generators of the group modulo torsion |
j |
-878601318786584576/371214630158761 |
j-invariant |
L |
25.410283952307 |
L(r)(E,1)/r! |
Ω |
0.032579458953712 |
Real period |
R |
32.497833477329 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999995154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121847b1 |
Quadratic twists by: -11 |