Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1488m |
Isogeny class |
Conductor |
1488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-4464 = -1 · 24 · 32 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 1 0 -6 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6,-9] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3:1] |
Generators of the group modulo torsion |
j |
-1755904/279 |
j-invariant |
L |
3.0572491165192 |
L(r)(E,1)/r! |
Ω |
1.4917087108232 |
Real period |
R |
1.0247473566177 |
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 |
372a1 5952u1 4464q1 37200bh1 |
Quadratic twists by: -4 8 -3 5 |