Atkin-Lehner |
2+ 3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230b |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-2364731366400 = -1 · 210 · 39 · 52 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1200,71936] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:259:1] |
Generators of the group modulo torsion |
j |
9704486637/120140800 |
j-invariant |
L |
2.5738931241907 |
L(r)(E,1)/r! |
Ω |
0.60396769394864 |
Real period |
R |
1.0654100997369 |
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 |
22230ba1 111150db1 |
Quadratic twists by: -3 5 |