Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1400f |
Isogeny class |
Conductor |
1400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-10976000 = -1 · 28 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -1 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,157] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-70:1] |
Generators of the group modulo torsion |
j |
1024/343 |
j-invariant |
L |
2.364379001796 |
L(r)(E,1)/r! |
Ω |
1.7645624813038 |
Real period |
R |
0.055830152111536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2800j1 11200bn1 12600cj1 1400l1 |
Quadratic twists by: -4 8 -3 5 |