Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800a |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
23409000000 = 26 · 34 · 56 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2558,50112] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:300:1] |
Generators of the group modulo torsion |
j |
1851804352/23409 |
j-invariant |
L |
5.165876116148 |
L(r)(E,1)/r! |
Ω |
1.204898609358 |
Real period |
R |
2.1436974347996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40800s1 81600hv2 122400dm1 1632l1 |
Quadratic twists by: -4 8 -3 5 |