Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
29304t |
Isogeny class |
Conductor |
29304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
75880012032 = 28 · 39 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14367,662690] |
[a1,a2,a3,a4,a6] |
Generators |
[73:54:1] |
Generators of the group modulo torsion |
j |
1757334737104/406593 |
j-invariant |
L |
3.8035385422857 |
L(r)(E,1)/r! |
Ω |
1.0604284675634 |
Real period |
R |
0.44834925912368 |
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 |
58608j2 9768c2 |
Quadratic twists by: -4 -3 |