Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79800z |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13961808000000 = 210 · 38 · 56 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71608,7397212] |
[a1,a2,a3,a4,a6] |
Generators |
[173:396:1] [182:600:1] |
Generators of the group modulo torsion |
j |
2538016415428/872613 |
j-invariant |
L |
8.6771686775457 |
L(r)(E,1)/r! |
Ω |
0.69131397906149 |
Real period |
R |
6.2758521745309 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3192i4 |
Quadratic twists by: 5 |