Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600en |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-1418130453888000 = -1 · 210 · 33 · 53 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -3 0 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14247,1694223] |
[a1,a2,a3,a4,a6] |
Generators |
[258:4755:1] |
Generators of the group modulo torsion |
j |
2498351450368/11079144171 |
j-invariant |
L |
8.9731772865677 |
L(r)(E,1)/r! |
Ω |
0.34341718476517 |
Real period |
R |
4.3548477304306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600hf1 5100j1 81600ch1 |
Quadratic twists by: -4 8 5 |