Atkin-Lehner |
2- 3+ 7+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33306n |
Isogeny class |
Conductor |
33306 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-9052120369656 = -1 · 23 · 32 · 7 · 136 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-104,-144799] |
[a1,a2,a3,a4,a6] |
Generators |
[95:797:1] |
Generators of the group modulo torsion |
j |
-124475734657/9052120369656 |
j-invariant |
L |
6.0083508591488 |
L(r)(E,1)/r! |
Ω |
0.33386935109484 |
Real period |
R |
0.99978410374628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99918h2 |
Quadratic twists by: -3 |