Atkin-Lehner |
2- 3+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666bj |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3.2117264225479E+23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14420182,-34468825669] |
[a1,a2,a3,a4,a6] |
Generators |
[398932160025:22053422154793:63521199] |
Generators of the group modulo torsion |
j |
-68703019601012586217/66539331109805736 |
j-invariant |
L |
9.2087868939616 |
L(r)(E,1)/r! |
Ω |
0.037267934991384 |
Real period |
R |
20.591398516435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000340786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282d4 |
Quadratic twists by: 13 |