Atkin-Lehner |
2+ 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
67626c |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
114236789647720896 = 26 · 39 · 13 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 0 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1003173,-386140843] |
[a1,a2,a3,a4,a6] |
Generators |
[-1989210:2143589:3375] |
Generators of the group modulo torsion |
j |
813146499/832 |
j-invariant |
L |
5.8996651190768 |
L(r)(E,1)/r! |
Ω |
0.1508628315735 |
Real period |
R |
9.7765384914269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997642 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67626s1 67626b2 |
Quadratic twists by: -3 17 |