Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70644f |
Isogeny class |
Conductor |
70644 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1.3195859191516E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69019468,213646386692] |
[a1,a2,a3,a4,a6] |
Generators |
[48188:10430082:1] |
Generators of the group modulo torsion |
j |
238786949809042000/8665821118143 |
j-invariant |
L |
7.7277024777632 |
L(r)(E,1)/r! |
Ω |
0.085189736822262 |
Real period |
R |
5.0395366904844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988744 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2436a2 |
Quadratic twists by: 29 |