Atkin-Lehner |
2- 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85514n |
Isogeny class |
Conductor |
85514 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1138176 |
Modular degree for the optimal curve |
Δ |
-110485051936554724 = -1 · 22 · 112 · 138 · 234 |
Discriminant |
Eigenvalues |
2- 2 3 -2 11- 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-147794,-27154301] |
[a1,a2,a3,a4,a6] |
Generators |
[175508:9008301:64] |
Generators of the group modulo torsion |
j |
-437670713857/135443044 |
j-invariant |
L |
17.693061862636 |
L(r)(E,1)/r! |
Ω |
0.11984610937018 |
Real period |
R |
6.1513128358156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85514b1 |
Quadratic twists by: 13 |