Atkin-Lehner |
2- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
48880s |
Isogeny class |
Conductor |
48880 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-39104000000 = -1 · 212 · 56 · 13 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- -2 3 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,715,-6275] |
[a1,a2,a3,a4,a6] |
Generators |
[20:125:1] |
Generators of the group modulo torsion |
j |
9855401984/9546875 |
j-invariant |
L |
4.6960168437623 |
L(r)(E,1)/r! |
Ω |
0.62749092614183 |
Real period |
R |
1.2473000665911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3055b1 |
Quadratic twists by: -4 |