Atkin-Lehner |
2- 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070cd |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
20090470400 = 214 · 52 · 73 · 11 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-820,-6000] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:60:1] [-10:40:1] |
Generators of the group modulo torsion |
j |
177788739367/58572800 |
j-invariant |
L |
11.68791117718 |
L(r)(E,1)/r! |
Ω |
0.91567751328158 |
Real period |
R |
0.91173015200524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999758 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70070bi1 |
Quadratic twists by: -7 |