Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610ba |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-1958439254400 = -1 · 27 · 37 · 52 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -3 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99,-67307] |
[a1,a2,a3,a4,a6] |
j |
-529/9600 |
j-invariant |
L |
1.5137235765874 |
L(r)(E,1)/r! |
Ω |
0.3784308940953 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870x1 47610r1 |
Quadratic twists by: -3 -23 |