Atkin-Lehner |
7- 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
116081a |
Isogeny class |
Conductor |
116081 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
-6410341063 = -1 · 76 · 232 · 103 |
Discriminant |
Eigenvalues |
1 2 0 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-270,4103] |
[a1,a2,a3,a4,a6] |
j |
-18609625/54487 |
j-invariant |
L |
2.354883369324 |
L(r)(E,1)/r! |
Ω |
1.177441848633 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2369a1 |
Quadratic twists by: -7 |