Atkin-Lehner |
2- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
44240p |
Isogeny class |
Conductor |
44240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-55494656000000 = -1 · 217 · 56 · 73 · 79 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 3 -7 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8680,174832] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-800:1] |
Generators of the group modulo torsion |
j |
17655210697319/13548500000 |
j-invariant |
L |
4.3441651341312 |
L(r)(E,1)/r! |
Ω |
0.40278820759042 |
Real period |
R |
0.44938475649864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5530h1 |
Quadratic twists by: -4 |