Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040bb |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-2352240 = -1 · 24 · 35 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4,75] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] |
Generators of the group modulo torsion |
j |
2816/1215 |
j-invariant |
L |
6.0872692666153 |
L(r)(E,1)/r! |
Ω |
2.0101033171003 |
Real period |
R |
0.60566730225552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14520d1 116160gu1 87120cj1 29040z1 |
Quadratic twists by: -4 8 -3 -11 |