Atkin-Lehner |
37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72557c |
Isogeny class |
Conductor |
72557 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
705960 |
Modular degree for the optimal curve |
Δ |
186161411057813 = 378 · 53 |
Discriminant |
Eigenvalues |
-2 0 2 -1 3 -1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1165019,484002078] |
[a1,a2,a3,a4,a6] |
Generators |
[16428:17099:27] |
Generators of the group modulo torsion |
j |
49786195968/53 |
j-invariant |
L |
2.7930689601859 |
L(r)(E,1)/r! |
Ω |
0.47783914265253 |
Real period |
R |
1.9484025124734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72557b1 |
Quadratic twists by: 37 |