Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650x |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
38372167968750000 = 24 · 36 · 514 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-190692,-30586784] |
[a1,a2,a3,a4,a6] |
Generators |
[-216:808:1] |
Generators of the group modulo torsion |
j |
67324767141241/3368750000 |
j-invariant |
L |
4.1142951173526 |
L(r)(E,1)/r! |
Ω |
0.22917306208577 |
Real period |
R |
2.2440983464131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3850u2 6930w2 |
Quadratic twists by: -3 5 |