Atkin-Lehner |
2- 3- 5- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119970bz |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-1952065461600000 = -1 · 28 · 310 · 55 · 312 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11803,2064669] |
[a1,a2,a3,a4,a6] |
Generators |
[-714:4693:8] [-73:936:1] |
Generators of the group modulo torsion |
j |
249464010671351/2677730400000 |
j-invariant |
L |
16.201962624524 |
L(r)(E,1)/r! |
Ω |
0.34384100990421 |
Real period |
R |
0.58900633423406 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39990b1 |
Quadratic twists by: -3 |