Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040o |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
1275523920 = 24 · 32 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1855,31330] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:242:1] |
Generators of the group modulo torsion |
j |
24918016/45 |
j-invariant |
L |
4.7420262230291 |
L(r)(E,1)/r! |
Ω |
1.53106770673 |
Real period |
R |
1.5486010847805 |
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 |
14520v1 116160hs1 87120x1 240a1 |
Quadratic twists by: -4 8 -3 -11 |