Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270bp |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-3370295228597500 = -1 · 22 · 54 · 72 · 317 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -6 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,14395,2714077] |
[a1,a2,a3,a4,a6] |
Generators |
[-538:9879:8] |
Generators of the group modulo torsion |
j |
371694959/3797500 |
j-invariant |
L |
6.6670421274801 |
L(r)(E,1)/r! |
Ω |
0.32811073763999 |
Real period |
R |
1.2699679867927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2170p1 |
Quadratic twists by: -31 |