Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88800bt |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
-2997000000000 = -1 · 29 · 34 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -5 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1792,77412] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:250:1] |
Generators of the group modulo torsion |
j |
636056/2997 |
j-invariant |
L |
5.0693233015496 |
L(r)(E,1)/r! |
Ω |
0.57506146223551 |
Real period |
R |
1.1019090187695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800y1 88800bb1 |
Quadratic twists by: -4 5 |