Atkin-Lehner |
2+ 3- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
80106n |
Isogeny class |
Conductor |
80106 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
653184 |
Modular degree for the optimal curve |
Δ |
49956477823369728 = 29 · 39 · 137 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 0 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-112051,9622862] |
[a1,a2,a3,a4,a6] |
Generators |
[40:2261:1] |
Generators of the group modulo torsion |
j |
32233334640625/10349793792 |
j-invariant |
L |
6.1014986903002 |
L(r)(E,1)/r! |
Ω |
0.3292743950498 |
Real period |
R |
1.0294518929772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6162q1 |
Quadratic twists by: 13 |