Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24024l |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6.2274581920815E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41929272,-104446861200] |
[a1,a2,a3,a4,a6] |
Generators |
[703822581:37136018040:79507] |
Generators of the group modulo torsion |
j |
3980574313395222561735026/3040751070352312317 |
j-invariant |
L |
7.1336825358153 |
L(r)(E,1)/r! |
Ω |
0.059332157148587 |
Real period |
R |
10.019415662952 |
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 |
48048h4 72072ba4 |
Quadratic twists by: -4 -3 |