Atkin-Lehner |
2- 3+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240bv |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
50140486598496000 = 28 · 3 · 53 · 710 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-242900,44881452] |
[a1,a2,a3,a4,a6] |
Generators |
[1962:285:8] |
Generators of the group modulo torsion |
j |
6191103710660097616/195861275775375 |
j-invariant |
L |
6.2088134570547 |
L(r)(E,1)/r! |
Ω |
0.35449212663553 |
Real period |
R |
5.8382241243235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060q2 |
Quadratic twists by: -4 |