Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472x |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
4023672373248 = 220 · 3 · 113 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 11+ -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4001,11967] |
[a1,a2,a3,a4,a6] |
Generators |
[12930:105741:125] |
Generators of the group modulo torsion |
j |
27027009001/15349092 |
j-invariant |
L |
8.5530513239388 |
L(r)(E,1)/r! |
Ω |
0.67217369836647 |
Real period |
R |
6.3622329645429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000756 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bw1 2046d1 |
Quadratic twists by: -4 8 |