Atkin-Lehner |
2+ 3- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390bd |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
19144013850 = 2 · 38 · 52 · 13 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11169,457083] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:849:1] |
Generators of the group modulo torsion |
j |
211378556917009/26260650 |
j-invariant |
L |
4.1100769865301 |
L(r)(E,1)/r! |
Ω |
1.175281466759 |
Real period |
R |
1.7485500715914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26130bb2 |
Quadratic twists by: -3 |