Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312cr |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-121809272832 = -1 · 217 · 32 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 2 13+ -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6241,188447] |
[a1,a2,a3,a4,a6] |
Generators |
[23:240:1] |
Generators of the group modulo torsion |
j |
-205137906482/929331 |
j-invariant |
L |
12.105542803527 |
L(r)(E,1)/r! |
Ω |
1.0518970931004 |
Real period |
R |
1.4385369573671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117312j1 29328e1 |
Quadratic twists by: -4 8 |