Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700bu |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-106198184005830000 = -1 · 24 · 36 · 54 · 79 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 1 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4923225,4204609425] |
[a1,a2,a3,a4,a6] |
Generators |
[1281:-171:1] |
Generators of the group modulo torsion |
j |
-1810277845777324800/14567652127 |
j-invariant |
L |
7.0276470219547 |
L(r)(E,1)/r! |
Ω |
0.30064581830837 |
Real period |
R |
1.9479308137752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999712112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13300q1 119700bi1 |
Quadratic twists by: -3 5 |