Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650cp |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-714790605375000 = -1 · 23 · 39 · 56 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,21220,-494153] |
[a1,a2,a3,a4,a6] |
Generators |
[119:-1985:1] |
Generators of the group modulo torsion |
j |
3436115229/2324168 |
j-invariant |
L |
9.1850790400597 |
L(r)(E,1)/r! |
Ω |
0.28817136546798 |
Real period |
R |
0.66403479410186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34650g2 1386a2 |
Quadratic twists by: -3 5 |