Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
94752j |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1137237760512 = 29 · 39 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121971,-16395734] |
[a1,a2,a3,a4,a6] |
Generators |
[-4426212:196673:21952] |
Generators of the group modulo torsion |
j |
537645451787144/3046869 |
j-invariant |
L |
4.9604760882383 |
L(r)(E,1)/r! |
Ω |
0.25546744012522 |
Real period |
R |
9.7086268325948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94752q4 31584w4 |
Quadratic twists by: -4 -3 |