Atkin-Lehner |
2+ 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
109800bb |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-661876596000000000 = -1 · 211 · 36 · 59 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,142125,33268750] |
[a1,a2,a3,a4,a6] |
j |
108879878/226981 |
j-invariant |
L |
2.3878110143949 |
L(r)(E,1)/r! |
Ω |
0.19898430840177 |
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 |
12200n1 109800cg1 |
Quadratic twists by: -3 5 |