Atkin-Lehner |
2- 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
79344bc |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-2244701923703894016 = -1 · 212 · 36 · 197 · 292 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -3 -2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-342192,-105509392] |
[a1,a2,a3,a4,a6] |
Generators |
[7251646907:555055917399:1225043] |
Generators of the group modulo torsion |
j |
-1484040633094144/751746132499 |
j-invariant |
L |
6.5511683493642 |
L(r)(E,1)/r! |
Ω |
0.09638698980347 |
Real period |
R |
16.991837702167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4959g1 8816g1 |
Quadratic twists by: -4 -3 |