Atkin-Lehner |
2+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44200k |
Isogeny class |
Conductor |
44200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86784 |
Modular degree for the optimal curve |
Δ |
601120000 = 28 · 54 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 -2 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21100,1179700] |
[a1,a2,a3,a4,a6] |
Generators |
[86:-34:1] |
Generators of the group modulo torsion |
j |
6493085107200/3757 |
j-invariant |
L |
2.7814444275496 |
L(r)(E,1)/r! |
Ω |
1.340986438251 |
Real period |
R |
0.25927223685993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88400r1 44200n1 |
Quadratic twists by: -4 5 |