Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304w |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-104291603136 = -1 · 26 · 36 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-801,17820] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:154:1] [13:98:1] |
Generators of the group modulo torsion |
j |
-1218186432/2235331 |
j-invariant |
L |
8.2287757900531 |
L(r)(E,1)/r! |
Ω |
0.94659735609033 |
Real period |
R |
1.4488342090243 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304bj1 76608cf2 4256b1 |
Quadratic twists by: -4 8 -3 |