Atkin-Lehner |
2- 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
68432ba |
Isogeny class |
Conductor |
68432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-221415101759488 = -1 · 216 · 76 · 13 · 472 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12376,-477260] |
[a1,a2,a3,a4,a6] |
Generators |
[84:1078:1] |
Generators of the group modulo torsion |
j |
51176381367383/54056421328 |
j-invariant |
L |
3.3035237245534 |
L(r)(E,1)/r! |
Ω |
0.303305606239 |
Real period |
R |
1.8152888576847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999903 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8554b2 |
Quadratic twists by: -4 |