Atkin-Lehner |
2+ 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070c |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1318986468800 = -1 · 26 · 52 · 78 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2735,-5475] |
[a1,a2,a3,a4,a6] |
Generators |
[51:489:1] |
Generators of the group modulo torsion |
j |
19227292839/11211200 |
j-invariant |
L |
3.1192608731151 |
L(r)(E,1)/r! |
Ω |
0.50663306435321 |
Real period |
R |
1.5392110650851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010j1 |
Quadratic twists by: -7 |