Atkin-Lehner |
2+ 3- 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630c |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-31190460000 = -1 · 25 · 3 · 54 · 72 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,136,8486] |
[a1,a2,a3,a4,a6] |
Generators |
[38:243:1] |
Generators of the group modulo torsion |
j |
281140102151/31190460000 |
j-invariant |
L |
4.3027124984776 |
L(r)(E,1)/r! |
Ω |
0.89995391478634 |
Real period |
R |
2.3905182408697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64890ce2 108150ca2 |
Quadratic twists by: -3 5 |