Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080ed |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-1960718400 = -1 · 26 · 36 · 52 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,177,1928] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:34:1] |
Generators of the group modulo torsion |
j |
13144256/42025 |
j-invariant |
L |
6.1949020500287 |
L(r)(E,1)/r! |
Ω |
1.043256297275 |
Real period |
R |
2.9690221049544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055762 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080ei1 59040s2 13120bl1 |
Quadratic twists by: -4 8 -3 |