Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656bx |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2350493656858368 = 28 · 34 · 79 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97428,11502828] |
[a1,a2,a3,a4,a6] |
Generators |
[1258:1715:8] |
Generators of the group modulo torsion |
j |
3395872114000/78042447 |
j-invariant |
L |
5.4903508090353 |
L(r)(E,1)/r! |
Ω |
0.45925557539855 |
Real period |
R |
2.9887230021698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001388 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31164k2 17808v2 |
Quadratic twists by: -4 -7 |