Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cz |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-45799663073971968 = -1 · 28 · 32 · 77 · 176 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56939,-11572135] |
[a1,a2,a3,a4,a6] |
Generators |
[699:16702:1] |
Generators of the group modulo torsion |
j |
-7189057/16128 |
j-invariant |
L |
6.8636356867462 |
L(r)(E,1)/r! |
Ω |
0.14456214030069 |
Real period |
R |
2.9674244569236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138bb1 294c1 |
Quadratic twists by: -7 17 |