Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328bm |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-71217709056 = -1 · 219 · 35 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 4 13+ 8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,863,-8639] |
[a1,a2,a3,a4,a6] |
j |
270840023/271674 |
j-invariant |
L |
1.1904398923965 |
L(r)(E,1)/r! |
Ω |
0.59522005159264 |
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 |
107328t1 26832y1 |
Quadratic twists by: -4 8 |