Atkin-Lehner |
5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
80465g |
Isogeny class |
Conductor |
80465 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
969194623224606625 = 53 · 73 · 113 · 198 |
Discriminant |
Eigenvalues |
1 0 5- 7+ 11+ 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-487669,122344800] |
[a1,a2,a3,a4,a6] |
Generators |
[1542:46881:8] |
Generators of the group modulo torsion |
j |
9636550589444465331/728170265382875 |
j-invariant |
L |
6.7756587202157 |
L(r)(E,1)/r! |
Ω |
0.27248036232596 |
Real period |
R |
2.0722162200372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80465p1 |
Quadratic twists by: -11 |