Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664eh |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
25830630861815808 = 214 · 314 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97713,8823087] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:4536:1] |
Generators of the group modulo torsion |
j |
6297457702786000/1576576590687 |
j-invariant |
L |
7.5511094301722 |
L(r)(E,1)/r! |
Ω |
0.35304578770095 |
Real period |
R |
0.25462464930789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664c2 10416be2 124992go2 |
Quadratic twists by: -4 8 -3 |