Atkin-Lehner |
2+ 3+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
29694d |
Isogeny class |
Conductor |
29694 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
55993612820544 = 26 · 36 · 76 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13941,515565] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:603:1] |
Generators of the group modulo torsion |
j |
2547216904393/475937856 |
j-invariant |
L |
3.0843207087648 |
L(r)(E,1)/r! |
Ω |
0.59680771405847 |
Real period |
R |
2.5840154509653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89082bi2 606a2 |
Quadratic twists by: -3 -7 |