Atkin-Lehner |
2+ 7+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
109858d |
Isogeny class |
Conductor |
109858 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2721600 |
Modular degree for the optimal curve |
Δ |
-491137985996 = -1 · 22 · 78 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 0 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14001825,20165079120] |
[a1,a2,a3,a4,a6] |
Generators |
[2094:4263:1] [22887:3407384:1] |
Generators of the group modulo torsion |
j |
-52661507063080450633/85196 |
j-invariant |
L |
7.912321673973 |
L(r)(E,1)/r! |
Ω |
0.4230473018929 |
Real period |
R |
14.027370531169 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999354 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
109858f1 |
Quadratic twists by: -7 |