Atkin-Lehner |
2+ 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63550a |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1272241210937500 = -1 · 22 · 514 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 2 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,16725,1507625] |
[a1,a2,a3,a4,a6] |
Generators |
[-1410:19705:27] |
Generators of the group modulo torsion |
j |
33110176183631/81423437500 |
j-invariant |
L |
7.3307020544965 |
L(r)(E,1)/r! |
Ω |
0.3379238840149 |
Real period |
R |
5.4233382138972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710l1 |
Quadratic twists by: 5 |