Atkin-Lehner |
2+ 3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158v |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
404837361118008 = 23 · 39 · 76 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-132147,-18431523] |
[a1,a2,a3,a4,a6] |
Generators |
[789:18789:1] |
Generators of the group modulo torsion |
j |
350082141630936625/555332456952 |
j-invariant |
L |
4.8279284500217 |
L(r)(E,1)/r! |
Ω |
0.25042428946024 |
Real period |
R |
3.2131657171199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22386ba2 |
Quadratic twists by: -3 |