Atkin-Lehner |
2+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
127088a |
Isogeny class |
Conductor |
127088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
854784 |
Modular degree for the optimal curve |
Δ |
-1667773255805696 = -1 · 28 · 137 · 473 |
Discriminant |
Eigenvalues |
2+ -1 -2 2 1 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-509929,-140000251] |
[a1,a2,a3,a4,a6] |
Generators |
[5064134510:449953948093:636056] |
Generators of the group modulo torsion |
j |
-11867346377728/1349699 |
j-invariant |
L |
5.2651399935297 |
L(r)(E,1)/r! |
Ω |
0.08932830571718 |
Real period |
R |
14.735362641469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000148082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63544a1 9776a1 |
Quadratic twists by: -4 13 |