Atkin-Lehner |
2+ 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22440h |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
476160 |
Modular degree for the optimal curve |
Δ |
-712119206700000000 = -1 · 28 · 32 · 58 · 115 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-747185,252136725] |
[a1,a2,a3,a4,a6] |
Generators |
[2112947596474823:-85230185604405402:1086056947639] [22810:-1167375:8] |
Generators of the group modulo torsion |
j |
-180205798889619321856/2781715651171875 |
j-invariant |
L |
6.5903206324144 |
L(r)(E,1)/r! |
Ω |
0.28635321609721 |
Real period |
R |
0.023973599525074 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44880u1 67320bb1 112200cm1 |
Quadratic twists by: -4 -3 5 |