Atkin-Lehner |
2- 3+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770bb |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
72736488000 = 26 · 33 · 53 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1148,-7169] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:47:1] |
Generators of the group modulo torsion |
j |
6191999358147/2693944000 |
j-invariant |
L |
7.5957476461994 |
L(r)(E,1)/r! |
Ω |
0.85347649310398 |
Real period |
R |
0.74164780826542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22770d1 113850j1 |
Quadratic twists by: -3 5 |