Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29120x |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1899462656000000 = 221 · 56 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-938785,-349785183] |
[a1,a2,a3,a4,a6] |
Generators |
[1779:60060:1] |
Generators of the group modulo torsion |
j |
349046010201856969/7245875000 |
j-invariant |
L |
8.677075365147 |
L(r)(E,1)/r! |
Ω |
0.15337639353181 |
Real period |
R |
3.1429852496055 |
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 |
29120cc4 910c4 |
Quadratic twists by: -4 8 |