Atkin-Lehner |
2- 3+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
80106z |
Isogeny class |
Conductor |
80106 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-803055520566 = -1 · 2 · 34 · 137 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 3 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1102,44897] |
[a1,a2,a3,a4,a6] |
Generators |
[430:2823:8] |
Generators of the group modulo torsion |
j |
-30664297/166374 |
j-invariant |
L |
6.3586692059625 |
L(r)(E,1)/r! |
Ω |
0.77400786860048 |
Real period |
R |
2.0538128446923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6162g1 |
Quadratic twists by: 13 |