Atkin-Lehner |
2- 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
2226h |
Isogeny class |
Conductor |
2226 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-4840593924096 = -1 · 213 · 34 · 72 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -1 0 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2710,-89737] |
[a1,a2,a3,a4,a6] |
Generators |
[561:13075:1] |
Generators of the group modulo torsion |
j |
2201007734483039/4840593924096 |
j-invariant |
L |
3.9295523507095 |
L(r)(E,1)/r! |
Ω |
0.39972397881638 |
Real period |
R |
0.063017080486795 |
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 |
17808bd1 71232y1 6678c1 55650bb1 |
Quadratic twists by: -4 8 -3 5 |