Atkin-Lehner |
2- 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350ce |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
641406276000000 = 28 · 36 · 56 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27538,-1279969] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:747:1] |
Generators of the group modulo torsion |
j |
147809333462617/41050001664 |
j-invariant |
L |
6.9491396304937 |
L(r)(E,1)/r! |
Ω |
0.37837725305962 |
Real period |
R |
1.1478523706559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995191 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2814a2 |
Quadratic twists by: 5 |