Atkin-Lehner |
2+ 3+ 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
56826c |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
217260267774858 = 2 · 33 · 7 · 112 · 416 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47607,3946635] |
[a1,a2,a3,a4,a6] |
Generators |
[8380767:-258340975:185193] |
Generators of the group modulo torsion |
j |
441954463037200875/8046676584254 |
j-invariant |
L |
4.9389981439061 |
L(r)(E,1)/r! |
Ω |
0.5613166653084 |
Real period |
R |
13.198427329211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000015 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
56826r4 |
Quadratic twists by: -3 |