Atkin-Lehner |
2- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20150l |
Isogeny class |
Conductor |
20150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-619652800 = -1 · 26 · 52 · 13 · 313 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -3 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,77,1201] |
[a1,a2,a3,a4,a6] |
Generators |
[31:170:1] |
Generators of the group modulo torsion |
j |
2017917095/24786112 |
j-invariant |
L |
10.065498809507 |
L(r)(E,1)/r! |
Ω |
1.2005973792936 |
Real period |
R |
0.46576345072063 |
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 |
20150i1 |
Quadratic twists by: 5 |