Atkin-Lehner |
2+ 3+ 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
116298a |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3286629627372 = 22 · 39 · 72 · 132 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28743,1880801] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:1911:1] [13:1222:1] |
Generators of the group modulo torsion |
j |
133424997523299/166978084 |
j-invariant |
L |
7.3482487477316 |
L(r)(E,1)/r! |
Ω |
0.79313336013637 |
Real period |
R |
1.158104223113 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999956526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116298u2 |
Quadratic twists by: -3 |