Atkin-Lehner |
2+ 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64974k |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
48672803088 = 24 · 32 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1005,-6579] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:87:1] |
Generators of the group modulo torsion |
j |
955671625/413712 |
j-invariant |
L |
3.4757531018891 |
L(r)(E,1)/r! |
Ω |
0.88186528579095 |
Real period |
R |
0.98534128678455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1326c1 |
Quadratic twists by: -7 |