Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104dk |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
1146880 |
Modular degree for the optimal curve |
Δ |
-464949760782237696 = -1 · 218 · 37 · 7 · 415 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -6 7 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,188223,-9338049] |
[a1,a2,a3,a4,a6] |
Generators |
[1023:35424:1] |
Generators of the group modulo torsion |
j |
2813193182704463/1773642581109 |
j-invariant |
L |
5.0055880914605 |
L(r)(E,1)/r! |
Ω |
0.17015892680119 |
Real period |
R |
0.21012239160766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55104i1 13776k1 |
Quadratic twists by: -4 8 |