Atkin-Lehner |
2+ 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240bd |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-4757437440 = -1 · 210 · 32 · 5 · 74 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-320,-4092] |
[a1,a2,a3,a4,a6] |
Generators |
[43:252:1] |
Generators of the group modulo torsion |
j |
-3550014724/4645935 |
j-invariant |
L |
8.61356298153 |
L(r)(E,1)/r! |
Ω |
0.53803379535192 |
Real period |
R |
2.0011668075139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120g1 |
Quadratic twists by: -4 |