Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966u |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18579456 |
Modular degree for the optimal curve |
Δ |
-1.7799786239559E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 6 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47220149,-140442814035] |
[a1,a2,a3,a4,a6] |
j |
-4100379159705193/626805817344 |
j-invariant |
L |
2.056006190426 |
L(r)(E,1)/r! |
Ω |
0.028555641825751 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138m1 4998w1 |
Quadratic twists by: -7 17 |