Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400ck |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
-29141673523200 = -1 · 211 · 314 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51408,4511052] |
[a1,a2,a3,a4,a6] |
Generators |
[47439:56862:343] |
Generators of the group modulo torsion |
j |
-293463656011250/569173311 |
j-invariant |
L |
5.6339439993101 |
L(r)(E,1)/r! |
Ω |
0.66372145032769 |
Real period |
R |
4.2442081665709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71400bx1 |
Quadratic twists by: 5 |