Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888j |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
720896 |
Modular degree for the optimal curve |
Δ |
7533833087094336 = 26 · 314 · 114 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63849,4595920] |
[a1,a2,a3,a4,a6] |
Generators |
[249188:15516765:64] |
Generators of the group modulo torsion |
j |
616990545419968/161476189281 |
j-invariant |
L |
9.3091553457106 |
L(r)(E,1)/r! |
Ω |
0.39028927292717 |
Real period |
R |
5.962984420345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999249564 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129888e1 43296bb1 |
Quadratic twists by: -4 -3 |