Atkin-Lehner |
2- 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53680w |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
4059550000000000000 = 213 · 514 · 113 · 61 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 11- 3 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1198723,495768578] |
[a1,a2,a3,a4,a6] |
Generators |
[110883:6875000:27] |
Generators of the group modulo torsion |
j |
46507209170632894809/991101074218750 |
j-invariant |
L |
10.274825343188 |
L(r)(E,1)/r! |
Ω |
0.24695417676144 |
Real period |
R |
1.7335917466317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6710c1 |
Quadratic twists by: -4 |