Atkin-Lehner |
2+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10478b |
Isogeny class |
Conductor |
10478 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11856 |
Modular degree for the optimal curve |
Δ |
-50575304702 = -1 · 2 · 138 · 31 |
Discriminant |
Eigenvalues |
2+ 1 4 0 -3 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1694,-29066] |
[a1,a2,a3,a4,a6] |
Generators |
[20302604:214611722:148877] |
Generators of the group modulo torsion |
j |
-658489/62 |
j-invariant |
L |
4.8188128901926 |
L(r)(E,1)/r! |
Ω |
0.37012876472916 |
Real period |
R |
13.019287743601 |
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 |
83824bb1 94302ce1 10478k1 |
Quadratic twists by: -4 -3 13 |