Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33396c |
Isogeny class |
Conductor |
33396 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
783792101714688 = 28 · 33 · 118 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27628,-1135352] |
[a1,a2,a3,a4,a6] |
Generators |
[-244202:2144241:2744] |
Generators of the group modulo torsion |
j |
5142706000/1728243 |
j-invariant |
L |
5.1422220719105 |
L(r)(E,1)/r! |
Ω |
0.38034303122528 |
Real period |
R |
6.759979347255 |
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 |
100188bb2 3036d2 |
Quadratic twists by: -3 -11 |