Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80802m |
Isogeny class |
Conductor |
80802 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-893877706372939776 = -1 · 224 · 311 · 673 |
Discriminant |
Eigenvalues |
2- 3- 1 1 2 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,228298,17445957] |
[a1,a2,a3,a4,a6] |
Generators |
[41:5163:1] |
Generators of the group modulo torsion |
j |
6001777343717/4076863488 |
j-invariant |
L |
12.906245662284 |
L(r)(E,1)/r! |
Ω |
0.17656210931971 |
Real period |
R |
0.38071605364695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26934a1 80802d1 |
Quadratic twists by: -3 -67 |