Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760ch |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
835811373219840 = 231 · 34 · 5 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13980641,-20125159521] |
[a1,a2,a3,a4,a6] |
Generators |
[771127:677148672:1] |
Generators of the group modulo torsion |
j |
1152829477932246539641/3188367360 |
j-invariant |
L |
5.2481310758028 |
L(r)(E,1)/r! |
Ω |
0.078076040592637 |
Real period |
R |
8.4022752626267 |
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 |
29760l2 7440n2 89280fk2 |
Quadratic twists by: -4 8 -3 |