Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760l |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
16 |
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] |
j |
1152829477932246539641/3188367360 |
j-invariant |
L |
1.3228289006167 |
L(r)(E,1)/r! |
Ω |
0.33070722515478 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760ch2 930j2 89280cy2 |
Quadratic twists by: -4 8 -3 |