Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
82656p |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
12602816884224 = 29 · 36 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 0 -6 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5907,36902] |
[a1,a2,a3,a4,a6] |
Generators |
[101:686:1] |
Generators of the group modulo torsion |
j |
61069889672/33765263 |
j-invariant |
L |
7.238811808238 |
L(r)(E,1)/r! |
Ω |
0.61700962650019 |
Real period |
R |
0.8380063519001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82656bb1 9184c1 |
Quadratic twists by: -4 -3 |