Atkin-Lehner |
3- 5- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
33165q |
Isogeny class |
Conductor |
33165 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
3989252025 = 39 · 52 · 112 · 67 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-504,-2997] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:327:8] |
Generators of the group modulo torsion |
j |
19443408769/5472225 |
j-invariant |
L |
7.0581076055225 |
L(r)(E,1)/r! |
Ω |
1.0290001395367 |
Real period |
R |
1.7147975336283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11055f1 |
Quadratic twists by: -3 |