Atkin-Lehner |
2+ 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4902f |
Isogeny class |
Conductor |
4902 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-294132411864 = -1 · 23 · 38 · 194 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1225,20306] |
[a1,a2,a3,a4,a6] |
Generators |
[0:142:1] |
Generators of the group modulo torsion |
j |
203536128687767/294132411864 |
j-invariant |
L |
3.4436551054449 |
L(r)(E,1)/r! |
Ω |
0.65885268230294 |
Real period |
R |
0.65334315203211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39216q3 14706q4 122550bx3 93138z3 |
Quadratic twists by: -4 -3 5 -19 |