Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600bs |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
19584000 = 210 · 32 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 2 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93,-243] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:4:1] [-4:7:1] |
Generators of the group modulo torsion |
j |
702464/153 |
j-invariant |
L |
8.1436657865831 |
L(r)(E,1)/r! |
Ω |
1.5597879848032 |
Real period |
R |
2.6105040767941 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600jj1 10200v1 81600ez1 |
Quadratic twists by: -4 8 5 |