Atkin-Lehner |
2+ 3- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64890bq |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
5933915366400 = 210 · 38 · 52 · 73 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8064,-250880] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:182:1] |
Generators of the group modulo torsion |
j |
79556933449729/8139801600 |
j-invariant |
L |
5.7043610188574 |
L(r)(E,1)/r! |
Ω |
0.50712751365337 |
Real period |
R |
0.93736467731628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630p1 |
Quadratic twists by: -3 |