Atkin-Lehner |
2- 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
60564d |
Isogeny class |
Conductor |
60564 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
-3192131728128 = -1 · 28 · 3 · 79 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -5 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6533,-218511] |
[a1,a2,a3,a4,a6] |
Generators |
[1440:54537:1] |
Generators of the group modulo torsion |
j |
-1024000000/105987 |
j-invariant |
L |
4.117022884209 |
L(r)(E,1)/r! |
Ω |
0.26396716823706 |
Real period |
R |
3.899180825855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8652e1 |
Quadratic twists by: -7 |