Atkin-Lehner |
2- 3- 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70950cb |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
73920 |
Modular degree for the optimal curve |
Δ |
-101146320000 = -1 · 27 · 35 · 54 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1013,19617] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:-161:1] |
Generators of the group modulo torsion |
j |
-183949590625/161834112 |
j-invariant |
L |
11.967918904512 |
L(r)(E,1)/r! |
Ω |
0.97203749483181 |
Real period |
R |
0.058629518227357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70950h1 |
Quadratic twists by: 5 |