Atkin-Lehner |
2+ 3- 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670x |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
51777600 |
Modular degree for the optimal curve |
Δ |
-5.0608844489097E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -5 -3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4208648638,-105090526524112] |
[a1,a2,a3,a4,a6] |
Generators |
[46269114:20265300635:216] |
Generators of the group modulo torsion |
j |
-1430103276000178326275919001/877894041600000 |
j-invariant |
L |
5.307229521522 |
L(r)(E,1)/r! |
Ω |
0.0093720347784509 |
Real period |
R |
9.4380598793146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89670k1 |
Quadratic twists by: -7 |