Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520cn |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
10757440626278400 = 214 · 314 · 52 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1870616,984112020] |
[a1,a2,a3,a4,a6] |
Generators |
[-428:41310:1] |
Generators of the group modulo torsion |
j |
176733114283442193049/2626328277900 |
j-invariant |
L |
8.5393491273073 |
L(r)(E,1)/r! |
Ω |
0.37032958462736 |
Real period |
R |
0.82352792534517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000806 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690d2 |
Quadratic twists by: -4 |