Atkin-Lehner |
2+ 3+ 5+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130d |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
140800 |
Modular degree for the optimal curve |
Δ |
-1115271348750 = -1 · 2 · 33 · 54 · 135 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3570,97450] |
[a1,a2,a3,a4,a6] |
Generators |
[45:140:1] |
Generators of the group modulo torsion |
j |
-186394469919867/41306346250 |
j-invariant |
L |
5.713663625083 |
L(r)(E,1)/r! |
Ω |
0.83162481810047 |
Real period |
R |
0.3435241174783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999840081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104130bh1 |
Quadratic twists by: -3 |