Atkin-Lehner |
2- 3- 5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
70110bh |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-16957134397440 = -1 · 213 · 312 · 5 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 1 1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4558,-159951] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-1017:1] |
Generators of the group modulo torsion |
j |
14368401992231/23260815360 |
j-invariant |
L |
10.587517173645 |
L(r)(E,1)/r! |
Ω |
0.36562286717158 |
Real period |
R |
0.55687463165571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370a1 |
Quadratic twists by: -3 |