Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29520bq |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
3060633600 = 212 · 36 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-38] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:50:1] [-3:32:1] |
Generators of the group modulo torsion |
j |
1771561/1025 |
j-invariant |
L |
7.5342692269871 |
L(r)(E,1)/r! |
Ω |
1.1991765038962 |
Real period |
R |
1.5707173219511 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1845d1 118080gc1 3280k1 |
Quadratic twists by: -4 8 -3 |