Atkin-Lehner |
2- 3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410x |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
41984 |
Modular degree for the optimal curve |
Δ |
-1249039440 = -1 · 24 · 37 · 5 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4028,99407] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-113:1] |
Generators of the group modulo torsion |
j |
-9912050027641/1713360 |
j-invariant |
L |
8.9472145099914 |
L(r)(E,1)/r! |
Ω |
1.4851349011228 |
Real period |
R |
0.37653206213401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19470s1 |
Quadratic twists by: -3 |