Atkin-Lehner |
2+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
24442f |
Isogeny class |
Conductor |
24442 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
170880 |
Modular degree for the optimal curve |
Δ |
-173201975848 = -1 · 23 · 118 · 101 |
Discriminant |
Eigenvalues |
2+ -2 0 1 11- 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-708216,-229460530] |
[a1,a2,a3,a4,a6] |
Generators |
[2586847354:36910266107:2406104] |
Generators of the group modulo torsion |
j |
-22175014984908625/97768 |
j-invariant |
L |
2.4275999516194 |
L(r)(E,1)/r! |
Ω |
0.082286425828333 |
Real period |
R |
14.7509138183 |
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 |
2222a1 |
Quadratic twists by: -11 |