Atkin-Lehner |
3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
110019y |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
2970240 |
Modular degree for the optimal curve |
Δ |
-5060588986464201099 = -1 · 35 · 77 · 138 · 31 |
Discriminant |
Eigenvalues |
-1 3- 3 7- 4 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-477344,-166856613] |
[a1,a2,a3,a4,a6] |
j |
-14745902386657/6203749419 |
j-invariant |
L |
3.1144783835718 |
L(r)(E,1)/r! |
Ω |
0.088985092808585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110019r1 |
Quadratic twists by: 13 |