Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41760k |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
160 |
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 |
[977:24750:1] |
Generators of the group modulo torsion |
j |
-5935443240847112/24638671875 |
j-invariant |
L |
7.1376019954199 |
L(r)(E,1)/r! |
Ω |
0.10454046546257 |
Real period |
R |
1.7068993245432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41760l2 83520ez2 13920ba2 |
Quadratic twists by: -4 8 -3 |