Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29520bb |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-290193408000 = -1 · 221 · 33 · 53 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-987,-28534] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1920:1] |
Generators of the group modulo torsion |
j |
-961504803/2624000 |
j-invariant |
L |
5.8738665896518 |
L(r)(E,1)/r! |
Ω |
0.39525737195235 |
Real period |
R |
0.61920272359903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3690o1 118080da1 29520y2 |
Quadratic twists by: -4 8 -3 |