Atkin-Lehner |
2- 3- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117300bi |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
161874000 = 24 · 32 · 53 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-293,-1932] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:9:1] |
Generators of the group modulo torsion |
j |
1395654656/80937 |
j-invariant |
L |
9.3409549255025 |
L(r)(E,1)/r! |
Ω |
1.1577881222111 |
Real period |
R |
1.3446551944974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117300m1 |
Quadratic twists by: 5 |