Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240dc |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
347907840 = 28 · 3 · 5 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-180,-312] |
[a1,a2,a3,a4,a6] |
Generators |
[-642:3097:216] |
Generators of the group modulo torsion |
j |
2533446736/1359015 |
j-invariant |
L |
8.5941740068799 |
L(r)(E,1)/r! |
Ω |
1.3861791211964 |
Real period |
R |
6.1999014953786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060d2 |
Quadratic twists by: -4 |