Atkin-Lehner |
2+ 3+ 7+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107226a |
Isogeny class |
Conductor |
107226 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5911832863098288 = 24 · 39 · 72 · 234 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-101886,-11933020] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:430:1] |
Generators of the group modulo torsion |
j |
5942625393671091/300352225936 |
j-invariant |
L |
6.2552337097828 |
L(r)(E,1)/r! |
Ω |
0.26806000329316 |
Real period |
R |
2.916899944672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107226s2 |
Quadratic twists by: -3 |