Atkin-Lehner |
2+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10406a |
Isogeny class |
Conductor |
10406 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-58606592 = -1 · 210 · 113 · 43 |
Discriminant |
Eigenvalues |
2+ -1 2 2 11+ -6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,86,-172] |
[a1,a2,a3,a4,a6] |
Generators |
[4:14:1] |
Generators of the group modulo torsion |
j |
51895117/44032 |
j-invariant |
L |
3.116706669917 |
L(r)(E,1)/r! |
Ω |
1.0917978155233 |
Real period |
R |
0.71366388208592 |
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 |
83248w1 93654bf1 10406f1 |
Quadratic twists by: -4 -3 -11 |