Atkin-Lehner |
3- 5+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
40545f |
Isogeny class |
Conductor |
40545 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3117040822116225 = -1 · 312 · 52 · 174 · 532 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 -4 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,20632,-2437068] |
[a1,a2,a3,a4,a6] |
Generators |
[278:4833:1] |
Generators of the group modulo torsion |
j |
1332416201989319/4275776162025 |
j-invariant |
L |
3.5042394679094 |
L(r)(E,1)/r! |
Ω |
0.22952297245252 |
Real period |
R |
1.9084361308506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13515c2 |
Quadratic twists by: -3 |