Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41760l |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-9196335000000000 = -1 · 29 · 37 · 510 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-271587,54671834] |
[a1,a2,a3,a4,a6] |
Generators |
[298:450:1] |
Generators of the group modulo torsion |
j |
-5935443240847112/24638671875 |
j-invariant |
L |
5.8631625926505 |
L(r)(E,1)/r! |
Ω |
0.41246645331977 |
Real period |
R |
1.4214883526789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41760k2 83520ey2 13920s2 |
Quadratic twists by: -4 8 -3 |