Atkin-Lehner |
3+ 13- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64467i |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-57827887085709 = -1 · 33 · 135 · 193 · 292 |
Discriminant |
Eigenvalues |
-1 3+ -1 -3 4 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4132,350260] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:389:1] |
Generators of the group modulo torsion |
j |
289027668023613/2141773595767 |
j-invariant |
L |
3.6839198863497 |
L(r)(E,1)/r! |
Ω |
0.45619514651354 |
Real period |
R |
0.13458859711778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985824 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64467j1 |
Quadratic twists by: -3 |