Atkin-Lehner |
2- 3+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
80106x |
Isogeny class |
Conductor |
80106 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-405961429812044886 = -1 · 2 · 38 · 137 · 793 |
Discriminant |
Eigenvalues |
2- 3+ 1 5 -5 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-523650,148819653] |
[a1,a2,a3,a4,a6] |
Generators |
[382390:1971167:1000] |
Generators of the group modulo torsion |
j |
-3289932395224489/84105550854 |
j-invariant |
L |
10.163243994532 |
L(r)(E,1)/r! |
Ω |
0.29876084903882 |
Real period |
R |
2.8348326162551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6162f1 |
Quadratic twists by: 13 |