Atkin-Lehner |
2- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21070z |
Isogeny class |
Conductor |
21070 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
35537000468480 = 212 · 5 · 79 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-76327,8130399] |
[a1,a2,a3,a4,a6] |
j |
417988868898609/302059520 |
j-invariant |
L |
1.9392511019436 |
L(r)(E,1)/r! |
Ω |
0.64641703398119 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
105350j1 3010e1 |
Quadratic twists by: 5 -7 |