Atkin-Lehner |
2- 3+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
45552i |
Isogeny class |
Conductor |
45552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
65489928192 = 216 · 34 · 132 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4304,-106560] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:26:1] |
Generators of the group modulo torsion |
j |
2153185532497/15988752 |
j-invariant |
L |
2.8156352238774 |
L(r)(E,1)/r! |
Ω |
0.58968148395416 |
Real period |
R |
1.1937102064797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5694f1 |
Quadratic twists by: -4 |