Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336i |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-47281106567006208 = -1 · 211 · 314 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23829,-10365446] |
[a1,a2,a3,a4,a6] |
Generators |
[185:612:1] [351:6422:1] |
Generators of the group modulo torsion |
j |
207646/6561 |
j-invariant |
L |
7.0371267438164 |
L(r)(E,1)/r! |
Ω |
0.17265943464295 |
Real period |
R |
5.0946584227856 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12168q6 97344fb5 8112k6 144b6 |
Quadratic twists by: -4 8 -3 13 |