Atkin-Lehner |
2+ 3+ 7+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33306a |
Isogeny class |
Conductor |
33306 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.5202011460811E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2052395,962937309] |
[a1,a2,a3,a4,a6] |
Generators |
[3753035:174723577:1331] |
Generators of the group modulo torsion |
j |
956107856006706372621625/152020114608114069408 |
j-invariant |
L |
2.2406809807403 |
L(r)(E,1)/r! |
Ω |
0.17478441790893 |
Real period |
R |
12.819683857101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99918t2 |
Quadratic twists by: -3 |