Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1400l |
Isogeny class |
Conductor |
1400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-171500000000 = -1 · 28 · 59 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -1 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,167,19963] |
[a1,a2,a3,a4,a6] |
Generators |
[33:250:1] |
Generators of the group modulo torsion |
j |
1024/343 |
j-invariant |
L |
2.9878386644505 |
L(r)(E,1)/r! |
Ω |
0.7891363317482 |
Real period |
R |
0.94655338508856 |
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 |
2800k1 11200bd1 12600x1 1400f1 |
Quadratic twists by: -4 8 -3 5 |