Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23100d |
Isogeny class |
Conductor |
23100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-125779500000000 = -1 · 28 · 33 · 59 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6467,498937] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:275:1] |
Generators of the group modulo torsion |
j |
7476617216/31444875 |
j-invariant |
L |
4.0344781876033 |
L(r)(E,1)/r! |
Ω |
0.41939869787162 |
Real period |
R |
1.6032787766858 |
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 |
92400gv1 69300ba1 4620k1 |
Quadratic twists by: -4 -3 5 |