Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640be |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
40612500000000 = 28 · 32 · 511 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -3 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-388385,-93291717] |
[a1,a2,a3,a4,a6] |
j |
70107585212548096/439453125 |
j-invariant |
L |
4.2073310708504 |
L(r)(E,1)/r! |
Ω |
0.19124232402608 |
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 |
43320j1 86640d1 |
Quadratic twists by: -4 -19 |