Atkin-Lehner |
2+ 3+ 5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270v |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-106814400000000 = -1 · 212 · 3 · 58 · 7 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11942,701844] |
[a1,a2,a3,a4,a6] |
Generators |
[93:591:1] |
Generators of the group modulo torsion |
j |
-188369998722236521/106814400000000 |
j-invariant |
L |
4.5145565754957 |
L(r)(E,1)/r! |
Ω |
0.55214571328478 |
Real period |
R |
1.0220482716047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810do1 |
Quadratic twists by: -3 |