Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944cc |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
-2.8568950628941E+22 |
Discriminant |
Eigenvalues |
2+ 2 2 7- -4 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6662497,10487699937] |
[a1,a2,a3,a4,a6] |
Generators |
[408721019966770761:278377523901489954816:2850784400804257] |
Generators of the group modulo torsion |
j |
-1060490285861833/926330847232 |
j-invariant |
L |
10.810883304962 |
L(r)(E,1)/r! |
Ω |
0.10802923744581 |
Real period |
R |
25.018419908854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90944ei1 2842b1 12992v1 |
Quadratic twists by: -4 8 -7 |