Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7392k |
Isogeny class |
Conductor |
7392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2483712 = 29 · 32 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51744,-4513212] |
[a1,a2,a3,a4,a6] |
Generators |
[269:980:1] |
Generators of the group modulo torsion |
j |
29925549856274696/4851 |
j-invariant |
L |
3.1771544315638 |
L(r)(E,1)/r! |
Ω |
0.31654383213473 |
Real period |
R |
5.018506299961 |
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 |
7392e3 14784bl3 22176i4 51744ci4 |
Quadratic twists by: -4 8 -3 -7 |