Atkin-Lehner |
2+ 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78120g |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
45559584000000 = 211 · 38 · 56 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11718000003,488234375937502] |
[a1,a2,a3,a4,a6] |
j |
119186402923541016023436000002/30515625 |
j-invariant |
L |
1.8370835781786 |
L(r)(E,1)/r! |
Ω |
0.11481772258231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040u6 |
Quadratic twists by: -3 |