Atkin-Lehner |
2- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52700b |
Isogeny class |
Conductor |
52700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-3293750000 = -1 · 24 · 58 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 1 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158,2813] |
[a1,a2,a3,a4,a6] |
Generators |
[17:73:1] |
Generators of the group modulo torsion |
j |
-1755904/13175 |
j-invariant |
L |
8.0044660911519 |
L(r)(E,1)/r! |
Ω |
1.2139031602399 |
Real period |
R |
3.2969953260312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10540a1 |
Quadratic twists by: 5 |