Atkin-Lehner |
2- 3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
116178u |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-5938421275656 = -1 · 23 · 33 · 177 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 0 -6 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1150,116759] |
[a1,a2,a3,a4,a6] |
Generators |
[239:3637:1] |
Generators of the group modulo torsion |
j |
6967871/246024 |
j-invariant |
L |
7.9500652254857 |
L(r)(E,1)/r! |
Ω |
0.57173209186827 |
Real period |
R |
2.3175380453309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999718717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834v1 |
Quadratic twists by: 17 |