Atkin-Lehner |
3- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119427h |
Isogeny class |
Conductor |
119427 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1680000 |
Modular degree for the optimal curve |
Δ |
-532179709334637903 = -1 · 310 · 72 · 116 · 473 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,193113,-12828059] |
[a1,a2,a3,a4,a6] |
Generators |
[173:4989:1] |
Generators of the group modulo torsion |
j |
449578326020543/300401572023 |
j-invariant |
L |
6.9160957030494 |
L(r)(E,1)/r! |
Ω |
0.16641492548471 |
Real period |
R |
1.3853115744597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
987e1 |
Quadratic twists by: -11 |