Atkin-Lehner |
2+ 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
31416b |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
38692978055424 = 28 · 36 · 72 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9164,159444] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:616:1] |
Generators of the group modulo torsion |
j |
332495964674512/151144445529 |
j-invariant |
L |
2.9646041902475 |
L(r)(E,1)/r! |
Ω |
0.58062227994501 |
Real period |
R |
1.2764771059631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62832r2 94248t2 |
Quadratic twists by: -4 -3 |