Atkin-Lehner |
2+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
24442h |
Isogeny class |
Conductor |
24442 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-692807903392 = -1 · 25 · 118 · 101 |
Discriminant |
Eigenvalues |
2+ -2 0 -5 11- 4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-971,41622] |
[a1,a2,a3,a4,a6] |
Generators |
[10:176:1] |
Generators of the group modulo torsion |
j |
-471625/3232 |
j-invariant |
L |
1.8047803855064 |
L(r)(E,1)/r! |
Ω |
0.77902866135176 |
Real period |
R |
0.77223533828857 |
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 |
24442l1 |
Quadratic twists by: -11 |