Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304bc |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1172791872 = 26 · 39 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-297,1080] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:54:1] |
Generators of the group modulo torsion |
j |
2299968/931 |
j-invariant |
L |
4.3281041005733 |
L(r)(E,1)/r! |
Ω |
1.3981351358547 |
Real period |
R |
1.5478132226207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304be1 76608cy1 38304c1 |
Quadratic twists by: -4 8 -3 |