Atkin-Lehner |
2- 7- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
116144y |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-452780985011941376 = -1 · 212 · 73 · 175 · 613 |
Discriminant |
Eigenvalues |
2- -3 1 7- 3 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,174533,-16138838] |
[a1,a2,a3,a4,a6] |
Generators |
[2357:116144:1] |
Generators of the group modulo torsion |
j |
143547761786690799/110542232668931 |
j-invariant |
L |
4.7761970377017 |
L(r)(E,1)/r! |
Ω |
0.16543066472994 |
Real period |
R |
0.1603960635913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000213781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7259b1 |
Quadratic twists by: -4 |