Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
7100b |
Isogeny class |
Conductor |
7100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-1420000000 = -1 · 28 · 57 · 71 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 -4 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,1863] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:50:1] |
Generators of the group modulo torsion |
j |
-65536/355 |
j-invariant |
L |
2.1805229675546 |
L(r)(E,1)/r! |
Ω |
1.3126076028948 |
Real period |
R |
0.13843455340002 |
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 |
28400n1 113600bk1 63900h1 1420b1 |
Quadratic twists by: -4 8 -3 5 |