Atkin-Lehner |
2- 3+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744p |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
-1.2472066013081E+21 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 -3 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7292187,-7767519030] |
[a1,a2,a3,a4,a6] |
Generators |
[21181:3056192:1] |
Generators of the group modulo torsion |
j |
-531919440403418907/15469887677056 |
j-invariant |
L |
4.5928247007524 |
L(r)(E,1)/r! |
Ω |
0.04585755003292 |
Real period |
R |
1.2519271192595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996952456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16218n1 129744s1 |
Quadratic twists by: -4 -3 |