Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525bw |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
374575343994140625 = 34 · 512 · 77 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-281776,49447073] |
[a1,a2,a3,a4,a6] |
Generators |
[-4594:39793:8] |
Generators of the group modulo torsion |
j |
1345938541921/203765625 |
j-invariant |
L |
7.6792549787642 |
L(r)(E,1)/r! |
Ω |
0.28884441208915 |
Real period |
R |
3.3232662011371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16905h1 12075b1 |
Quadratic twists by: 5 -7 |