Atkin-Lehner |
2+ 3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630g |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-101197447470 = -1 · 2 · 33 · 5 · 73 · 1033 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,886,-11374] |
[a1,a2,a3,a4,a6] |
j |
77042313010151/101197447470 |
j-invariant |
L |
1.7014395663146 |
L(r)(E,1)/r! |
Ω |
0.56714652210487 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
64890ci1 108150by1 |
Quadratic twists by: -3 5 |