Atkin-Lehner |
2+ 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730p |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4501739025000000 = 26 · 36 · 58 · 72 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61314,-4855852] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:829:1] [-163:969:1] |
Generators of the group modulo torsion |
j |
34968670162461729/6175225000000 |
j-invariant |
L |
7.2496989917534 |
L(r)(E,1)/r! |
Ω |
0.30706753138631 |
Real period |
R |
1.4755913298257 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4970g2 |
Quadratic twists by: -3 |