Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790ds |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
-150913208850390000 = -1 · 24 · 39 · 54 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-69908,20016231] |
[a1,a2,a3,a4,a6] |
j |
-1284365503/5130000 |
j-invariant |
L |
4.538456730951 |
L(r)(E,1)/r! |
Ω |
0.28365354376276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930n1 83790fn1 |
Quadratic twists by: -3 -7 |