Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700bt |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10567680 |
Modular degree for the optimal curve |
Δ |
9.5446074529378E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120423000,-508639896875] |
[a1,a2,a3,a4,a6] |
Generators |
[18677169117:1702158569888:1092727] |
Generators of the group modulo torsion |
j |
8477630598115622912/41896767969 |
j-invariant |
L |
5.8881793264783 |
L(r)(E,1)/r! |
Ω |
0.045574543047244 |
Real period |
R |
16.149858374145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001772 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39900z1 119700cf1 |
Quadratic twists by: -3 5 |