Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79800z |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
131363568000000 = 210 · 32 · 56 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36608,-2626788] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:228:1] [-98:100:1] |
Generators of the group modulo torsion |
j |
339112345828/8210223 |
j-invariant |
L |
8.6771686775457 |
L(r)(E,1)/r! |
Ω |
0.34565698953074 |
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 |
3192i3 |
Quadratic twists by: 5 |