Atkin-Lehner |
2+ 3- 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
120870h |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
132096 |
Modular degree for the optimal curve |
Δ |
-229185112230 = -1 · 2 · 310 · 5 · 173 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -3 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,450,22626] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:975:8] [75:651:1] |
Generators of the group modulo torsion |
j |
13806727199/314382870 |
j-invariant |
L |
7.6393196694722 |
L(r)(E,1)/r! |
Ω |
0.74376304617052 |
Real period |
R |
0.85593116734747 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40290bc1 |
Quadratic twists by: -3 |