Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270g |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1888768 |
Modular degree for the optimal curve |
Δ |
2.8918336738234E+19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 3 -5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1315148,519117502] |
[a1,a2,a3,a4,a6] |
Generators |
[6124459:400471761:1331] |
Generators of the group modulo torsion |
j |
9514651159/1093750 |
j-invariant |
L |
3.2952521144512 |
L(r)(E,1)/r! |
Ω |
0.2029625096559 |
Real period |
R |
8.1178837430188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67270f1 |
Quadratic twists by: -31 |