Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270bc |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-583903600 = -1 · 24 · 52 · 72 · 313 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 2 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1446,21076] |
[a1,a2,a3,a4,a6] |
Generators |
[18:22:1] |
Generators of the group modulo torsion |
j |
-11224377919/19600 |
j-invariant |
L |
5.8092934102206 |
L(r)(E,1)/r! |
Ω |
1.6336287950598 |
Real period |
R |
0.4445083720884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67270bb1 |
Quadratic twists by: -31 |