Atkin-Lehner |
2+ 11- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7106b |
Isogeny class |
Conductor |
7106 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
400 |
Modular degree for the optimal curve |
Δ |
-14212 = -1 · 22 · 11 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 0 2 2 11- 1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4,4] |
[a1,a2,a3,a4,a6] |
Generators |
[0:2:1] |
Generators of the group modulo torsion |
j |
6128487/14212 |
j-invariant |
L |
3.6320637921192 |
L(r)(E,1)/r! |
Ω |
2.7556048089967 |
Real period |
R |
0.65903205355517 |
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 |
56848f1 63954t1 78166j1 120802a1 |
Quadratic twists by: -4 -3 -11 17 |