Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304fq |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39137280 |
Modular degree for the optimal curve |
Δ |
-1.1741311956493E+24 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 2 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-379228117,-2842841392691] |
[a1,a2,a3,a4,a6] |
Generators |
[128432687066770196653073822639490875974220810:4132946210968040330937044103074987733658372887:5595296349262473338409419737388678094536] |
Generators of the group modulo torsion |
j |
-9122691795384795136/1775882908917 |
j-invariant |
L |
4.4263273234679 |
L(r)(E,1)/r! |
Ω |
0.017105641056279 |
Real period |
R |
64.691047077758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304dt1 30576dd1 122304io1 |
Quadratic twists by: -4 8 -7 |