Atkin-Lehner |
2+ 3+ 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710d |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134534400 |
Modular degree for the optimal curve |
Δ |
-3.0271748558328E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -2 3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-134901223348,-19070989444002992] |
[a1,a2,a3,a4,a6] |
j |
-271500964260048533020855617889433980489/30271748558327550000000000 |
j-invariant |
L |
0.070898670727875 |
L(r)(E,1)/r! |
Ω |
0.0039388150348103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122130ca1 |
Quadratic twists by: -3 |