Atkin-Lehner |
2- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56672bb |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-5227244836352 = -1 · 29 · 79 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -1 2 7- 11- -4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2848,92212] |
[a1,a2,a3,a4,a6] |
Generators |
[36:490:1] [113:1358:1] |
Generators of the group modulo torsion |
j |
4987939832056/10209462571 |
j-invariant |
L |
9.387112710579 |
L(r)(E,1)/r! |
Ω |
0.5291795679939 |
Real period |
R |
0.98549961722157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56672r1 113344dv1 |
Quadratic twists by: -4 8 |