Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218l |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
556416 |
Modular degree for the optimal curve |
Δ |
501095079640298304 = 26 · 33 · 7 · 2310 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 0 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2664320,-1673768050] |
[a1,a2,a3,a4,a6] |
Generators |
[-943:1059:1] |
Generators of the group modulo torsion |
j |
50489872297/12096 |
j-invariant |
L |
3.1782829727568 |
L(r)(E,1)/r! |
Ω |
0.11817054041582 |
Real period |
R |
4.4826217002043 |
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 |
66654bq1 22218o1 |
Quadratic twists by: -3 -23 |