Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81796k |
Isogeny class |
Conductor |
81796 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3193344 |
Modular degree for the optimal curve |
Δ |
2.6040558856193E+19 |
Discriminant |
Eigenvalues |
2- -1 -4 0 11- 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3299105,-2292236714] |
[a1,a2,a3,a4,a6] |
Generators |
[-2013792010:20737652:2048383] |
Generators of the group modulo torsion |
j |
1982464/13 |
j-invariant |
L |
3.041466447985 |
L(r)(E,1)/r! |
Ω |
0.11206554202489 |
Real period |
R |
13.570034068918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81796j1 6292f1 |
Quadratic twists by: -11 13 |