Atkin-Lehner |
2- 3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
115632be |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2096749009833984 = 212 · 38 · 114 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33411,819650] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:1694:1] |
Generators of the group modulo torsion |
j |
1381352948353/702197001 |
j-invariant |
L |
7.6595985469238 |
L(r)(E,1)/r! |
Ω |
0.41005630805632 |
Real period |
R |
2.3349227811181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032833 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7227e2 38544i2 |
Quadratic twists by: -4 -3 |