Atkin-Lehner |
2+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
48544b |
Isogeny class |
Conductor |
48544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
3592256 = 26 · 372 · 41 |
Discriminant |
Eigenvalues |
2+ 2 2 -2 -2 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42,-40] |
[a1,a2,a3,a4,a6] |
Generators |
[-530:828:125] |
Generators of the group modulo torsion |
j |
131096512/56129 |
j-invariant |
L |
9.4136025007995 |
L(r)(E,1)/r! |
Ω |
1.9454091968245 |
Real period |
R |
4.8388804351005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48544d1 97088g2 |
Quadratic twists by: -4 8 |