Atkin-Lehner |
2- 3- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370bt |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
1898307252000 = 25 · 312 · 53 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-166883,-26198269] |
[a1,a2,a3,a4,a6] |
Generators |
[-29445:15794:125] |
Generators of the group modulo torsion |
j |
705066432788338921/2603988000 |
j-invariant |
L |
10.351607829011 |
L(r)(E,1)/r! |
Ω |
0.23620921137352 |
Real period |
R |
4.3823895619884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26790n1 |
Quadratic twists by: -3 |