Atkin-Lehner |
3+ 11- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33231d |
Isogeny class |
Conductor |
33231 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
408000 |
Modular degree for the optimal curve |
Δ |
375884119453915941 = 3 · 112 · 195 · 535 |
Discriminant |
Eigenvalues |
1 3+ 3 -1 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-547481,-153332652] |
[a1,a2,a3,a4,a6] |
Generators |
[-3754:7653:8] |
Generators of the group modulo torsion |
j |
18148139425245770095897/375884119453915941 |
j-invariant |
L |
6.5318677905705 |
L(r)(E,1)/r! |
Ω |
0.17573331978373 |
Real period |
R |
3.7169205012513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99693e1 |
Quadratic twists by: -3 |