Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270f |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60928 |
Modular degree for the optimal curve |
Δ |
32583906250 = 2 · 57 · 7 · 313 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -3 5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1369,-17558] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:25:1] |
Generators of the group modulo torsion |
j |
9514651159/1093750 |
j-invariant |
L |
5.1335912646067 |
L(r)(E,1)/r! |
Ω |
0.79081985539559 |
Real period |
R |
3.2457399937538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67270g1 |
Quadratic twists by: -31 |