Atkin-Lehner |
2+ 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550bo |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6876850640625000000 = 26 · 38 · 512 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-539442,-85522284] |
[a1,a2,a3,a4,a6] |
Generators |
[-596:5198:1] |
Generators of the group modulo torsion |
j |
1524090939076441/603729000000 |
j-invariant |
L |
4.4828519117417 |
L(r)(E,1)/r! |
Ω |
0.18226577686347 |
Real period |
R |
3.0743922344745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994325 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38850cn2 23310bm2 |
Quadratic twists by: -3 5 |