Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29304m |
Isogeny class |
Conductor |
29304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-227640036096 = -1 · 28 · 310 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ 0 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-471,23290] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:90:1] [-7:162:1] |
Generators of the group modulo torsion |
j |
-61918288/1219779 |
j-invariant |
L |
6.7869126713383 |
L(r)(E,1)/r! |
Ω |
0.83581085967544 |
Real period |
R |
1.0150192164849 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58608q2 9768l2 |
Quadratic twists by: -4 -3 |