Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785j |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-12341235625064775 = -1 · 311 · 52 · 118 · 13 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,51705,2831296] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:1622:1] |
Generators of the group modulo torsion |
j |
11836763639/9555975 |
j-invariant |
L |
6.3775948524098 |
L(r)(E,1)/r! |
Ω |
0.25830196649159 |
Real period |
R |
3.0863077327466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595e1 6435g1 |
Quadratic twists by: -3 -11 |