Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24024l |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.7029165269413E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3174192,-893287440] |
[a1,a2,a3,a4,a6] |
Generators |
[7455:624360:1] |
Generators of the group modulo torsion |
j |
3454009045217783656132/1663004420841132369 |
j-invariant |
L |
7.1336825358153 |
L(r)(E,1)/r! |
Ω |
0.11866431429717 |
Real period |
R |
5.0097078314759 |
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 |
48048h2 72072ba2 |
Quadratic twists by: -4 -3 |