Atkin-Lehner |
2- 3+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
34608p |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
46885257216 = 214 · 34 · 73 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -6 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11872,501760] |
[a1,a2,a3,a4,a6] |
Generators |
[80:240:1] |
Generators of the group modulo torsion |
j |
45182682230113/11446596 |
j-invariant |
L |
4.5597414636446 |
L(r)(E,1)/r! |
Ω |
1.1056118371229 |
Real period |
R |
2.0620896550414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4326m1 103824bx1 |
Quadratic twists by: -4 -3 |