Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984dq |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
102817696464 = 24 · 33 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2809,-56134] |
[a1,a2,a3,a4,a6] |
Generators |
[86:588:1] |
Generators of the group modulo torsion |
j |
1302642688/54621 |
j-invariant |
L |
6.2910338536766 |
L(r)(E,1)/r! |
Ω |
0.65746338901992 |
Real period |
R |
1.5947741878721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9996g1 119952ez1 5712k1 |
Quadratic twists by: -4 -3 -7 |