Atkin-Lehner |
2+ 3+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970c |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-1169268750 = -1 · 2 · 33 · 55 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -4 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,231,883] |
[a1,a2,a3,a4,a6] |
Generators |
[17:89:1] [-1:26:1] |
Generators of the group modulo torsion |
j |
50366053557/43306250 |
j-invariant |
L |
6.8192603448149 |
L(r)(E,1)/r! |
Ω |
1.0009734447321 |
Real period |
R |
0.3406314313683 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47970w1 |
Quadratic twists by: -3 |