Atkin-Lehner |
2- 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
105400p |
Isogeny class |
Conductor |
105400 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
4608000 |
Modular degree for the optimal curve |
Δ |
-2.0324650225703E+22 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 -1 -3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12115175,-17620725750] |
[a1,a2,a3,a4,a6] |
Generators |
[4091:35836:1] [5145:237150:1] |
Generators of the group modulo torsion |
j |
-49164632375441706576/5081162556425875 |
j-invariant |
L |
10.70280267431 |
L(r)(E,1)/r! |
Ω |
0.040225803298704 |
Real period |
R |
1.3303404527138 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21080e1 |
Quadratic twists by: 5 |