Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270j |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2472960 |
Modular degree for the optimal curve |
Δ |
-5.5399238222629E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 6 -1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-270649,-362204884] |
[a1,a2,a3,a4,a6] |
Generators |
[1735:65402:1] |
Generators of the group modulo torsion |
j |
-203401212841/5139450000 |
j-invariant |
L |
5.3673324371666 |
L(r)(E,1)/r! |
Ω |
0.086116853837174 |
Real period |
R |
2.2259341308552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1410f1 |
Quadratic twists by: -47 |