Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
89712s |
Isogeny class |
Conductor |
89712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-315885487309056 = -1 · 28 · 36 · 74 · 893 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3201,852266] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:196:1] |
Generators of the group modulo torsion |
j |
19436284208/1692630569 |
j-invariant |
L |
2.5788401109952 |
L(r)(E,1)/r! |
Ω |
0.4160637924723 |
Real period |
R |
3.0990921996629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22428f1 9968h1 |
Quadratic twists by: -4 -3 |