Atkin-Lehner |
2- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72842k |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
729125679644389412 = 22 · 76 · 117 · 433 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2257573898,-41286974138816] |
[a1,a2,a3,a4,a6] |
Generators |
[1846433725282816957251477064820524235686396358880:1464189958164038538102420973431221915334149372566976:2915656455333536618833303929930087927560827] |
Generators of the group modulo torsion |
j |
718279590876134110626237625/411572437892 |
j-invariant |
L |
6.8545581385709 |
L(r)(E,1)/r! |
Ω |
0.021902266594486 |
Real period |
R |
78.240282906343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622f2 |
Quadratic twists by: -11 |