Atkin-Lehner |
2+ 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
109504a |
Isogeny class |
Conductor |
109504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11991126016 = 212 · 292 · 592 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 -4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4564,118560] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:420:1] |
Generators of the group modulo torsion |
j |
2566851069888/2927521 |
j-invariant |
L |
4.9995661375649 |
L(r)(E,1)/r! |
Ω |
1.2650282556804 |
Real period |
R |
3.9521379062135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031721 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109504c2 54752b1 |
Quadratic twists by: -4 8 |