Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760co |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
299447664454400 = 28 · 52 · 74 · 117 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- -4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16980,-185000] |
[a1,a2,a3,a4,a6] |
Generators |
[183:1694:1] |
Generators of the group modulo torsion |
j |
1193895376/660275 |
j-invariant |
L |
3.7219348624842 |
L(r)(E,1)/r! |
Ω |
0.44787418499246 |
Real period |
R |
1.0387780169988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16940e2 6160m2 |
Quadratic twists by: -4 -11 |