Atkin-Lehner |
3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
21105g |
Isogeny class |
Conductor |
21105 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
86976409078125 = 311 · 56 · 7 · 672 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -2 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-80078,8730456] |
[a1,a2,a3,a4,a6] |
j |
77898797352172441/119309203125 |
j-invariant |
L |
1.2095657034609 |
L(r)(E,1)/r! |
Ω |
0.60478285173044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035d2 105525j2 |
Quadratic twists by: -3 5 |