Atkin-Lehner |
2- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
19024c |
Isogeny class |
Conductor |
19024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8352 |
Modular degree for the optimal curve |
Δ |
-38961152 = -1 · 215 · 29 · 41 |
Discriminant |
Eigenvalues |
2- -3 2 -3 -3 1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19,-302] |
[a1,a2,a3,a4,a6] |
Generators |
[9:16:1] |
Generators of the group modulo torsion |
j |
-185193/9512 |
j-invariant |
L |
2.582578453091 |
L(r)(E,1)/r! |
Ω |
0.89769573788972 |
Real period |
R |
0.71922432737679 |
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 |
2378b1 76096l1 |
Quadratic twists by: -4 8 |