Atkin-Lehner |
3+ 11+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
22737a |
Isogeny class |
Conductor |
22737 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-447532371 = -1 · 310 · 11 · 13 · 53 |
Discriminant |
Eigenvalues |
0 3+ -2 -3 11+ 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,21,1010] |
[a1,a2,a3,a4,a6] |
Generators |
[24:121:1] |
Generators of the group modulo torsion |
j |
976191488/447532371 |
j-invariant |
L |
1.8053218222447 |
L(r)(E,1)/r! |
Ω |
1.2985618814019 |
Real period |
R |
0.69512352399241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68211d1 |
Quadratic twists by: -3 |