Atkin-Lehner |
2+ 3- 11+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110682p |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-6680805386770944 = -1 · 29 · 313 · 114 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 11+ 13- 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,33057,-3188403] |
[a1,a2,a3,a4,a6] |
Generators |
[1326:20235:8] |
Generators of the group modulo torsion |
j |
5479981686970127/9164342094336 |
j-invariant |
L |
7.2093096381562 |
L(r)(E,1)/r! |
Ω |
0.2218103255862 |
Real period |
R |
4.062767146285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36894bf1 |
Quadratic twists by: -3 |