Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712bc |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-1055685312 = -1 · 26 · 36 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 4 -5 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,252,-270] |
[a1,a2,a3,a4,a6] |
j |
37933056/22627 |
j-invariant |
L |
1.8148830272354 |
L(r)(E,1)/r! |
Ω |
0.90744165226302 |
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 |
107712et1 1683j1 11968i1 |
Quadratic twists by: -4 8 -3 |