Atkin-Lehner |
3+ 7- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99351a |
Isogeny class |
Conductor |
99351 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1496846308293 = 39 · 7 · 19 · 833 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 0 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12960,-564820] |
[a1,a2,a3,a4,a6] |
Generators |
[2418:38471:8] |
Generators of the group modulo torsion |
j |
12230590464000/76047671 |
j-invariant |
L |
5.0547270868753 |
L(r)(E,1)/r! |
Ω |
0.44762153048794 |
Real period |
R |
5.6462063799198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99351b1 |
Quadratic twists by: -3 |