Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966dy |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
1296 |
Product of Tamagawa factors cp |
deg |
14929920 |
Modular degree for the optimal curve |
Δ |
-1.6687299599587E+23 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1529093,-19640402671] |
[a1,a2,a3,a4,a6] |
Generators |
[77102:21372881:1] [2540:23873:1] |
Generators of the group modulo torsion |
j |
139233463487/58763045376 |
j-invariant |
L |
15.677330631515 |
L(r)(E,1)/r! |
Ω |
0.047757880459252 |
Real period |
R |
0.2532923492004 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138q1 4998bg1 |
Quadratic twists by: -7 17 |