Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950bo |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21168000 |
Modular degree for the optimal curve |
Δ |
-2.9598910324403E+24 |
Discriminant |
Eigenvalues |
2+ 2 5- 3 11- 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,31201300,-48480106000] |
[a1,a2,a3,a4,a6] |
Generators |
[48770180543147943833953582387315938687060575257106349922951:33299479216746376635457799964322063781088569322283229868117160:104475753164350765386967229382636471276889402956074389] |
Generators of the group modulo torsion |
j |
4854288821119295/4277200188448 |
j-invariant |
L |
8.3338807173687 |
L(r)(E,1)/r! |
Ω |
0.04411959633142 |
Real period |
R |
94.446475153193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114950cm1 10450bf1 |
Quadratic twists by: 5 -11 |