Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
7392j |
Isogeny class |
Conductor |
7392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1095316992 = 29 · 34 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-264,-360] |
[a1,a2,a3,a4,a6] |
Generators |
[21:54:1] |
Generators of the group modulo torsion |
j |
3989418056/2139291 |
j-invariant |
L |
2.8282706957102 |
L(r)(E,1)/r! |
Ω |
1.2597164842767 |
Real period |
R |
2.245164472333 |
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 |
7392f3 14784w3 22176b3 51744cm3 |
Quadratic twists by: -4 8 -3 -7 |