Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
104664n |
Isogeny class |
Conductor |
104664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-33098996947968 = -1 · 210 · 32 · 79 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7432,-123264] |
[a1,a2,a3,a4,a6] |
Generators |
[27172656:439686192:117649] |
Generators of the group modulo torsion |
j |
1098500/801 |
j-invariant |
L |
9.1146916273326 |
L(r)(E,1)/r! |
Ω |
0.36828159049892 |
Real period |
R |
12.374622918725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104664f1 |
Quadratic twists by: -7 |