Atkin-Lehner |
2+ 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
2226b |
Isogeny class |
Conductor |
2226 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
369266688 = 212 · 35 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1899,-32643] |
[a1,a2,a3,a4,a6] |
Generators |
[12430:103769:125] |
Generators of the group modulo torsion |
j |
757976769362233/369266688 |
j-invariant |
L |
2.1579525918842 |
L(r)(E,1)/r! |
Ω |
0.72318804453411 |
Real period |
R |
5.9678879046581 |
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 |
17808y1 71232bj1 6678o1 55650di1 |
Quadratic twists by: -4 8 -3 5 |