Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21070t |
Isogeny class |
Conductor |
21070 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-75915223168750 = -1 · 2 · 55 · 710 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 2 7 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-86486,9791410] |
[a1,a2,a3,a4,a6] |
Generators |
[-16556:255071:64] |
Generators of the group modulo torsion |
j |
-253268430961/268750 |
j-invariant |
L |
5.4151859113872 |
L(r)(E,1)/r! |
Ω |
0.6095064382923 |
Real period |
R |
8.8845425924612 |
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 |
105350u1 21070w1 |
Quadratic twists by: 5 -7 |