Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648bo |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
417162866688 = 212 · 38 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -6 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33195,-2327654] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:14:1] [335:4914:1] |
Generators of the group modulo torsion |
j |
1354734699625/139707 |
j-invariant |
L |
12.077110866444 |
L(r)(E,1)/r! |
Ω |
0.35369919697032 |
Real period |
R |
8.5362866019321 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001322 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7353i2 39216ba2 |
Quadratic twists by: -4 -3 |