Atkin-Lehner |
2+ 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77658j |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
5935104 |
Modular degree for the optimal curve |
Δ |
-2.7329833228215E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 3 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-129468,-795639600] |
[a1,a2,a3,a4,a6] |
j |
-70200862594969/79939818749952 |
j-invariant |
L |
2.8279387360812 |
L(r)(E,1)/r! |
Ω |
0.078553852377183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77658bj1 |
Quadratic twists by: -43 |