Atkin-Lehner |
2- 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
72072bd |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
121053284352 = 211 · 310 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-384411,-91736426] |
[a1,a2,a3,a4,a6] |
Generators |
[1086:27778:1] |
Generators of the group modulo torsion |
j |
4207786067734706/81081 |
j-invariant |
L |
5.579590423123 |
L(r)(E,1)/r! |
Ω |
0.19173464934146 |
Real period |
R |
7.2751462022676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999993723 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024j4 |
Quadratic twists by: -3 |