Atkin-Lehner |
2- 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72226i |
Isogeny class |
Conductor |
72226 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-511226317448 = -1 · 23 · 76 · 112 · 672 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1338,28445] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:149:1] |
Generators of the group modulo torsion |
j |
2253243231/4345352 |
j-invariant |
L |
5.7194684295651 |
L(r)(E,1)/r! |
Ω |
0.64022563944979 |
Real period |
R |
1.4889199680885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958231 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1474a2 |
Quadratic twists by: -7 |