Atkin-Lehner |
3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785f |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-231740980070660775 = -1 · 39 · 52 · 118 · 133 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,89638,20707624] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:2192:1] |
Generators of the group modulo torsion |
j |
2284322013/6645925 |
j-invariant |
L |
3.8888550295974 |
L(r)(E,1)/r! |
Ω |
0.22073455096359 |
Real period |
R |
4.4044475739371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70785b1 6435c1 |
Quadratic twists by: -3 -11 |