Atkin-Lehner |
2+ 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770s |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
14754960 = 24 · 36 · 5 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-249,1565] |
[a1,a2,a3,a4,a6] |
Generators |
[14:19:1] |
Generators of the group modulo torsion |
j |
2347334289/20240 |
j-invariant |
L |
3.8810531314367 |
L(r)(E,1)/r! |
Ω |
2.2300488332457 |
Real period |
R |
1.7403444595372 |
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 |
2530j1 113850ej1 |
Quadratic twists by: -3 5 |