Atkin-Lehner |
3+ 7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
120099f |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-235588240083 = -1 · 3 · 76 · 192 · 432 |
Discriminant |
Eigenvalues |
-1 3+ -4 7- -4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,-23374] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-497:1] |
Generators of the group modulo torsion |
j |
-117649/2002467 |
j-invariant |
L |
1.7848100733993 |
L(r)(E,1)/r! |
Ω |
0.45141394600033 |
Real period |
R |
0.98845536555837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995817576 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2451h2 |
Quadratic twists by: -7 |