Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10478m |
Isogeny class |
Conductor |
10478 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
2352 |
Modular degree for the optimal curve |
Δ |
-113330048 = -1 · 27 · 134 · 31 |
Discriminant |
Eigenvalues |
2- -1 -2 0 -1 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,81,-395] |
[a1,a2,a3,a4,a6] |
Generators |
[5:10:1] |
Generators of the group modulo torsion |
j |
2056223/3968 |
j-invariant |
L |
4.6505128584935 |
L(r)(E,1)/r! |
Ω |
0.97799043724208 |
Real period |
R |
0.22643676750674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83824o1 94302x1 10478d1 |
Quadratic twists by: -4 -3 13 |