Atkin-Lehner |
2- 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224ck |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-64205490412191744 = -1 · 217 · 33 · 72 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- -6 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-570736,166216148] |
[a1,a2,a3,a4,a6] |
Generators |
[-782:11616:1] [626:-7392:1] |
Generators of the group modulo torsion |
j |
-5019614054242745329/15675168557664 |
j-invariant |
L |
11.210444839962 |
L(r)(E,1)/r! |
Ω |
0.35044363444823 |
Real period |
R |
0.19041247086262 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778n1 |
Quadratic twists by: -4 |