Atkin-Lehner |
3- 5- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
101745bk |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-60664452288436395 = -1 · 324 · 5 · 7 · 17 · 192 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 0 5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2312112,-1353250098] |
[a1,a2,a3,a4,a6] |
j |
-1875092889689594527744/83215983934755 |
j-invariant |
L |
2.2037820101976 |
L(r)(E,1)/r! |
Ω |
0.061216174409223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33915m1 |
Quadratic twists by: -3 |