Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970co |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-413518377594093750 = -1 · 2 · 32 · 56 · 118 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-108116,-33838650] |
[a1,a2,a3,a4,a6] |
Generators |
[34974:2288013:8] |
Generators of the group modulo torsion |
j |
-652007198689/1929093750 |
j-invariant |
L |
10.82135479803 |
L(r)(E,1)/r! |
Ω |
0.12175897255755 |
Real period |
R |
7.4062678715754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68970t2 |
Quadratic twists by: -11 |