Atkin-Lehner |
2+ 3- 7- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107226n |
Isogeny class |
Conductor |
107226 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
75903077831112 = 23 · 316 · 7 · 23 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60138,-5645876] |
[a1,a2,a3,a4,a6] |
j |
32994928242555553/104119448328 |
j-invariant |
L |
2.4394076668767 |
L(r)(E,1)/r! |
Ω |
0.30492593475055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35742k2 |
Quadratic twists by: -3 |