Atkin-Lehner |
2- 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80142z |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
1848 |
Product of Tamagawa factors cp |
deg |
13305600 |
Modular degree for the optimal curve |
Δ |
4.4351457586085E+23 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 1 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21277167,20007994041] |
[a1,a2,a3,a4,a6] |
Generators |
[4476:117975:1] |
Generators of the group modulo torsion |
j |
22643497811986095673/9427277509392384 |
j-invariant |
L |
8.159300530582 |
L(r)(E,1)/r! |
Ω |
0.085036040016751 |
Real period |
R |
0.051921584236561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4218b1 |
Quadratic twists by: -19 |