Atkin-Lehner |
2- 3- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
38940r |
Isogeny class |
Conductor |
38940 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-4215508110000 = -1 · 24 · 310 · 54 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,355,98868] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:-297:1] [-29:255:1] |
Generators of the group modulo torsion |
j |
308364836864/263469256875 |
j-invariant |
L |
9.9443545846179 |
L(r)(E,1)/r! |
Ω |
0.60817549733032 |
Real period |
R |
0.27251877756422 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116820h1 |
Quadratic twists by: -3 |