Atkin-Lehner |
2+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918c |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
65289238642418 = 2 · 74 · 172 · 196 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ -2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10116,-47848] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:616:1] [-394:4799:8] |
Generators of the group modulo torsion |
j |
2433138625/1387778 |
j-invariant |
L |
5.6742066737352 |
L(r)(E,1)/r! |
Ω |
0.51511241059791 |
Real period |
R |
5.5077363282503 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
238d2 |
Quadratic twists by: -19 |