Atkin-Lehner |
2+ 3- 5- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
120510p |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-12669399475200 = -1 · 210 · 37 · 52 · 133 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -1 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5796,20560] |
[a1,a2,a3,a4,a6] |
Generators |
[56:-748:1] [11:287:1] |
Generators of the group modulo torsion |
j |
29535148948031/17379148800 |
j-invariant |
L |
8.5556867360773 |
L(r)(E,1)/r! |
Ω |
0.43172039531738 |
Real period |
R |
0.4128678553826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999959978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40170o1 |
Quadratic twists by: -3 |