Atkin-Lehner |
2- 3- 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920ce |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-68743593984000000 = -1 · 226 · 3 · 56 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63480,-14057772] |
[a1,a2,a3,a4,a6] |
Generators |
[113393:375150:343] |
Generators of the group modulo torsion |
j |
-6906871239936121/16783104000000 |
j-invariant |
L |
10.306686144703 |
L(r)(E,1)/r! |
Ω |
0.14023909929503 |
Real period |
R |
6.1244725450572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999846621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990f1 |
Quadratic twists by: -4 |