Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
24024j |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9234441216 = 210 · 32 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2672,52080] |
[a1,a2,a3,a4,a6] |
Generators |
[3:210:1] |
Generators of the group modulo torsion |
j |
2061083763652/9018009 |
j-invariant |
L |
7.2619431858749 |
L(r)(E,1)/r! |
Ω |
1.3040513108452 |
Real period |
R |
2.7843778559481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48048l2 72072bd2 |
Quadratic twists by: -4 -3 |