Atkin-Lehner |
2+ 3- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640t |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
18137088 |
Modular degree for the optimal curve |
Δ |
-5.5393295845978E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -2 13- 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7856268,34791029444] |
[a1,a2,a3,a4,a6] |
Generators |
[9538:988650:1] |
Generators of the group modulo torsion |
j |
287345955534525203456/2968176432076171875 |
j-invariant |
L |
4.8256078055175 |
L(r)(E,1)/r! |
Ω |
0.067842170276179 |
Real period |
R |
0.12348943563112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35880l1 |
Quadratic twists by: -3 |