Atkin-Lehner |
3+ 13- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
83421c |
Isogeny class |
Conductor |
83421 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-3253419 = -1 · 33 · 132 · 23 · 31 |
Discriminant |
Eigenvalues |
0 3+ -1 0 0 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3498,79630] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-2:1] |
Generators of the group modulo torsion |
j |
-175315115999232/120497 |
j-invariant |
L |
4.3064750904748 |
L(r)(E,1)/r! |
Ω |
2.0845420857018 |
Real period |
R |
0.51647735045945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83421d1 |
Quadratic twists by: -3 |