Atkin-Lehner |
3+ 5- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33495h |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1374345905625 = 32 · 54 · 74 · 112 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5327,136416] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:3207:8] |
Generators of the group modulo torsion |
j |
16722422128170361/1374345905625 |
j-invariant |
L |
5.409076931965 |
L(r)(E,1)/r! |
Ω |
0.83519227068405 |
Real period |
R |
1.6191112878519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100485k2 |
Quadratic twists by: -3 |