Atkin-Lehner |
2+ 3+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
9006b |
Isogeny class |
Conductor |
9006 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
-4422510485331591168 = -1 · 214 · 35 · 192 · 795 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 -1 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7495,101176693] |
[a1,a2,a3,a4,a6] |
Generators |
[126:10049:1] |
Generators of the group modulo torsion |
j |
-46572457913061625/4422510485331591168 |
j-invariant |
L |
2.7222832014785 |
L(r)(E,1)/r! |
Ω |
0.19555888997123 |
Real period |
R |
0.69602645062032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72048r1 27018l1 |
Quadratic twists by: -4 -3 |