Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7392f |
Isogeny class |
Conductor |
7392 |
Conductor |
∏ cp |
32 |
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 |
[-13:42:1] |
Generators of the group modulo torsion |
j |
3989418056/2139291 |
j-invariant |
L |
4.5157717981329 |
L(r)(E,1)/r! |
Ω |
1.3552040452129 |
Real period |
R |
1.6660855662601 |
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 |
7392j2 14784t4 22176x3 51744g3 |
Quadratic twists by: -4 8 -3 -7 |