Atkin-Lehner |
2+ 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880d |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2033337600 = 28 · 33 · 52 · 7 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1076,13776] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:164:1] |
Generators of the group modulo torsion |
j |
538671647824/7942725 |
j-invariant |
L |
3.719361611947 |
L(r)(E,1)/r! |
Ω |
1.4756144023027 |
Real period |
R |
1.2602755863769 |
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 |
34440k2 |
Quadratic twists by: -4 |