Atkin-Lehner |
2+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
19264m |
Isogeny class |
Conductor |
19264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1664 |
Modular degree for the optimal curve |
Δ |
-134848 = -1 · 26 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 3 -5 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26,54] |
[a1,a2,a3,a4,a6] |
Generators |
[5:7:1] |
Generators of the group modulo torsion |
j |
-30371328/2107 |
j-invariant |
L |
4.2484697534508 |
L(r)(E,1)/r! |
Ω |
3.2260033522632 |
Real period |
R |
0.65847261914193 |
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 |
19264c1 9632f1 |
Quadratic twists by: -4 8 |