Atkin-Lehner |
2+ 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10318b |
Isogeny class |
Conductor |
10318 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
109866064 = 24 · 7 · 114 · 67 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 11- -5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-260,-1550] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:7:1] [-8:9:1] |
Generators of the group modulo torsion |
j |
1933038007993/109866064 |
j-invariant |
L |
4.4782994906535 |
L(r)(E,1)/r! |
Ω |
1.1936963711894 |
Real period |
R |
0.46895295138906 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82544bd1 92862bj1 72226b1 113498u1 |
Quadratic twists by: -4 -3 -7 -11 |