Atkin-Lehner |
2+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56672f |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
15239780864 = 29 · 76 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 11- 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2584,49356] |
[a1,a2,a3,a4,a6] |
Generators |
[31:2:1] [43:140:1] |
Generators of the group modulo torsion |
j |
3728201174216/29765197 |
j-invariant |
L |
6.345703311465 |
L(r)(E,1)/r! |
Ω |
1.2508878649753 |
Real period |
R |
10.145918733638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56672n2 113344cn2 |
Quadratic twists by: -4 8 |