Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9120g |
Isogeny class |
Conductor |
9120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-346560 = -1 · 26 · 3 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[26:69:8] |
Generators of the group modulo torsion |
j |
4410944/5415 |
j-invariant |
L |
5.2100382988229 |
L(r)(E,1)/r! |
Ω |
1.6257082647764 |
Real period |
R |
3.2047805942228 |
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 |
9120m1 18240o2 27360bf1 45600bg1 |
Quadratic twists by: -4 8 -3 5 |