Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4598i |
Isogeny class |
Conductor |
4598 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-11762300518232 = -1 · 23 · 118 · 193 |
Discriminant |
Eigenvalues |
2+ 1 0 -1 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5684,4354] |
[a1,a2,a3,a4,a6] |
Generators |
[14:287:1] |
Generators of the group modulo torsion |
j |
94766375/54872 |
j-invariant |
L |
3.1530950869483 |
L(r)(E,1)/r! |
Ω |
0.42836421531768 |
Real period |
R |
2.4535935964445 |
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 |
36784v2 41382ce2 114950cw2 4598m2 |
Quadratic twists by: -4 -3 5 -11 |