Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976dk |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1827840 |
Modular degree for the optimal curve |
Δ |
-645980629709848576 = -1 · 215 · 11 · 1311 |
Discriminant |
Eigenvalues |
2- -2 1 -5 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,216095,680031] |
[a1,a2,a3,a4,a6] |
Generators |
[719:22984:1] |
Generators of the group modulo torsion |
j |
7055792632/4084223 |
j-invariant |
L |
3.8464352902349 |
L(r)(E,1)/r! |
Ω |
0.17234099394724 |
Real period |
R |
2.7898435689813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999509948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976cf1 59488e1 9152r1 |
Quadratic twists by: -4 8 13 |