Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74160o |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
-3192344829360 = -1 · 24 · 318 · 5 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-642,86191] |
[a1,a2,a3,a4,a6] |
Generators |
[793065:16777684:59319] |
Generators of the group modulo torsion |
j |
-2508888064/273692115 |
j-invariant |
L |
7.57673658566 |
L(r)(E,1)/r! |
Ω |
0.65454222952259 |
Real period |
R |
11.575626815874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37080g1 24720c1 |
Quadratic twists by: -4 -3 |