Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200bf |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-20661046784000 = -1 · 212 · 53 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 5 3 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4573,250517] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1372:1] |
Generators of the group modulo torsion |
j |
-512 |
j-invariant |
L |
5.477954029119 |
L(r)(E,1)/r! |
Ω |
0.60800469859996 |
Real period |
R |
1.1262153980334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200cv1 78400et1 39200ct1 39200ba1 |
Quadratic twists by: -4 8 5 -7 |