Atkin-Lehner |
2+ 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
29280j |
Isogeny class |
Conductor |
29280 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-183000000000 = -1 · 29 · 3 · 59 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 2 3 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1960,39892] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:250:1] |
Generators of the group modulo torsion |
j |
-1627209702728/357421875 |
j-invariant |
L |
5.8817178194853 |
L(r)(E,1)/r! |
Ω |
0.96705006523649 |
Real period |
R |
0.33789574379751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29280p1 58560dg1 87840bh1 |
Quadratic twists by: -4 8 -3 |