Atkin-Lehner |
3+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
63897a |
Isogeny class |
Conductor |
63897 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1315840 |
Modular degree for the optimal curve |
Δ |
-545304255868539 = -1 · 38 · 193 · 594 |
Discriminant |
Eigenvalues |
0 3+ -1 3 -1 4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-17722731,-28711424797] |
[a1,a2,a3,a4,a6] |
Generators |
[31198529008617:902583336252380:5939574731] |
Generators of the group modulo torsion |
j |
-89754218718934589341696/79502005521 |
j-invariant |
L |
4.7689556051141 |
L(r)(E,1)/r! |
Ω |
0.036790602112511 |
Real period |
R |
16.203036004039 |
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 |
63897h1 |
Quadratic twists by: -19 |