Atkin-Lehner |
2+ 5+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350g |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360000 |
Modular degree for the optimal curve |
Δ |
-32278045184000000 = -1 · 215 · 56 · 75 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6242251,6002369398] |
[a1,a2,a3,a4,a6] |
Generators |
[1480790:1797113:1000] |
Generators of the group modulo torsion |
j |
-1721580238553093926561/2065794891776 |
j-invariant |
L |
5.542450305228 |
L(r)(E,1)/r! |
Ω |
0.31225242337259 |
Real period |
R |
8.8749515586621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4774j1 |
Quadratic twists by: 5 |