Atkin-Lehner |
2- 3+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
80106u |
Isogeny class |
Conductor |
80106 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1975680 |
Modular degree for the optimal curve |
Δ |
9188019233582587008 = 27 · 3 · 1313 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 0 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3212778,2210365815] |
[a1,a2,a3,a4,a6] |
Generators |
[993:179:1] |
Generators of the group modulo torsion |
j |
759811318037187625/1903539011712 |
j-invariant |
L |
7.9404195037564 |
L(r)(E,1)/r! |
Ω |
0.23146985863888 |
Real period |
R |
2.4503096201477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6162c1 |
Quadratic twists by: 13 |