Atkin-Lehner |
2+ 3+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
62712a |
Isogeny class |
Conductor |
62712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
274302288 = 24 · 39 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 2 13+ 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7830,-266679] |
[a1,a2,a3,a4,a6] |
Generators |
[2840180:51660973:8000] |
Generators of the group modulo torsion |
j |
168576768000/871 |
j-invariant |
L |
6.0893560530918 |
L(r)(E,1)/r! |
Ω |
0.50752711394753 |
Real period |
R |
11.998090123555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125424b1 62712c1 |
Quadratic twists by: -4 -3 |