Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600gy |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
338411520000 = 217 · 35 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 1 0 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7233,237537] |
[a1,a2,a3,a4,a6] |
Generators |
[53:16:1] |
Generators of the group modulo torsion |
j |
510915650/4131 |
j-invariant |
L |
6.0514610632054 |
L(r)(E,1)/r! |
Ω |
0.96605527849102 |
Real period |
R |
1.5660234973141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600ej1 20400bn1 81600ip1 |
Quadratic twists by: -4 8 5 |