Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
29304p |
Isogeny class |
Conductor |
29304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
30048484764672 = 210 · 311 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45435,-3718298] |
[a1,a2,a3,a4,a6] |
Generators |
[707:17820:1] |
Generators of the group modulo torsion |
j |
13895296694500/40252707 |
j-invariant |
L |
5.2614465880468 |
L(r)(E,1)/r! |
Ω |
0.32706008536058 |
Real period |
R |
2.010886846008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58608c2 9768i2 |
Quadratic twists by: -4 -3 |