Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664ch |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-200057723486208 = -1 · 216 · 33 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11873,-839295] |
[a1,a2,a3,a4,a6] |
Generators |
[230549:2005864:1331] |
Generators of the group modulo torsion |
j |
-2824631270500/3052638603 |
j-invariant |
L |
4.2111856566577 |
L(r)(E,1)/r! |
Ω |
0.21932603081968 |
Real period |
R |
9.6002869356684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664bw2 10416g2 124992es2 |
Quadratic twists by: -4 8 -3 |