Atkin-Lehner |
2- 3+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
22260d |
Isogeny class |
Conductor |
22260 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
72864 |
Modular degree for the optimal curve |
Δ |
-876487500000000 = -1 · 28 · 33 · 511 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24445,-2039543] |
[a1,a2,a3,a4,a6] |
Generators |
[219:1750:1] |
Generators of the group modulo torsion |
j |
-6310614306512896/3423779296875 |
j-invariant |
L |
4.2695096045211 |
L(r)(E,1)/r! |
Ω |
0.1861913319913 |
Real period |
R |
0.34743582727828 |
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 |
89040cr1 66780g1 111300r1 |
Quadratic twists by: -4 -3 5 |