Atkin-Lehner |
2- 3+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
34608o |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
172470767616 = 212 · 34 · 72 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3872,-89280] |
[a1,a2,a3,a4,a6] |
Generators |
[410:8190:1] |
Generators of the group modulo torsion |
j |
1567768622113/42107121 |
j-invariant |
L |
5.2222085564056 |
L(r)(E,1)/r! |
Ω |
0.60620350028467 |
Real period |
R |
4.3073065018216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2163b2 103824bw2 |
Quadratic twists by: -4 -3 |