Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086g |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
163041526229148 = 22 · 38 · 7 · 316 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11624436,15257686500] |
[a1,a2,a3,a4,a6] |
Generators |
[1248:51270:1] |
Generators of the group modulo torsion |
j |
268498407453697/252 |
j-invariant |
L |
4.5422806218973 |
L(r)(E,1)/r! |
Ω |
0.36038711309979 |
Real period |
R |
1.5754866549468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998315142 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40362bc4 126b3 |
Quadratic twists by: -3 -31 |