Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dv |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-238882661498880 = -1 · 215 · 36 · 5 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 -7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-801723,-276303382] |
[a1,a2,a3,a4,a6] |
Generators |
[110884905974:-1957377038771:93576664] |
Generators of the group modulo torsion |
j |
-19085751483878521/80001320 |
j-invariant |
L |
5.3470651285274 |
L(r)(E,1)/r! |
Ω |
0.079774366496187 |
Real period |
R |
16.756839832702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10710bf2 9520l2 |
Quadratic twists by: -4 -3 |