Atkin-Lehner |
2- 3- 5+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970bx |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39424 |
Modular degree for the optimal curve |
Δ |
-77740560 = -1 · 24 · 36 · 5 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -5 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,97,-233] |
[a1,a2,a3,a4,a6] |
Generators |
[5:16:1] |
Generators of the group modulo torsion |
j |
139798359/106640 |
j-invariant |
L |
8.5958729856146 |
L(r)(E,1)/r! |
Ω |
1.0786110833253 |
Real period |
R |
1.9923476410581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13330c1 |
Quadratic twists by: -3 |