Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950cl |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3307392 |
Modular degree for the optimal curve |
Δ |
-1.971244269676E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11- -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,541412,148950781] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:11417:1] |
Generators of the group modulo torsion |
j |
43307231/48640 |
j-invariant |
L |
16.868612487237 |
L(r)(E,1)/r! |
Ω |
0.14411573561378 |
Real period |
R |
3.251362992944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22990e1 114950bc1 |
Quadratic twists by: 5 -11 |