Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400jt |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4915200 |
Modular degree for the optimal curve |
Δ |
1.013836372992E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 5 -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1328833,-336505537] |
[a1,a2,a3,a4,a6] |
Generators |
[-271:1944:1] |
Generators of the group modulo torsion |
j |
2534167381585/990074583 |
j-invariant |
L |
11.599847351266 |
L(r)(E,1)/r! |
Ω |
0.14538166684028 |
Real period |
R |
2.4934039961514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400cd1 27600cf1 110400gf1 |
Quadratic twists by: -4 8 5 |