Atkin-Lehner |
2+ 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880d |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
117164880 = 24 · 36 · 5 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-131,-210] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:18:1] |
Generators of the group modulo torsion |
j |
15657723904/7322805 |
j-invariant |
L |
3.719361611947 |
L(r)(E,1)/r! |
Ω |
1.4756144023027 |
Real period |
R |
2.5205511727538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440k1 |
Quadratic twists by: -4 |