Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150fc |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
668780721355500 = 22 · 37 · 53 · 13 · 196 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31010,1701717] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:1785:1] |
Generators of the group modulo torsion |
j |
36189146427533/7339157436 |
j-invariant |
L |
10.415682885067 |
L(r)(E,1)/r! |
Ω |
0.48363754877576 |
Real period |
R |
0.89733889890366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050q2 111150cq2 |
Quadratic twists by: -3 5 |