Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7392k |
Isogeny class |
Conductor |
7392 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
1506060864 = 26 · 34 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3234,-69696] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1540:1] |
Generators of the group modulo torsion |
j |
58465284603328/23532201 |
j-invariant |
L |
3.1771544315638 |
L(r)(E,1)/r! |
Ω |
0.63308766426946 |
Real period |
R |
2.5092531499805 |
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 |
7392e1 14784bl2 22176i1 51744ci1 |
Quadratic twists by: -4 8 -3 -7 |