Atkin-Lehner |
2+ 3+ 5+ 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
126270a |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
934941870144000000 = 212 · 39 · 56 · 233 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 6 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-345480,62893376] |
[a1,a2,a3,a4,a6] |
j |
231687103175437203/47499968000000 |
j-invariant |
L |
2.1148147425426 |
L(r)(E,1)/r! |
Ω |
0.26435163376556 |
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 |
126270bc1 |
Quadratic twists by: -3 |