Atkin-Lehner |
3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975bw |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1.5192809008129E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11- 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-688251,-114644477] |
[a1,a2,a3,a4,a6] |
Generators |
[-5354:57123:8] [-613:9081:1] |
Generators of the group modulo torsion |
j |
1302528459961/548860455 |
j-invariant |
L |
15.97821854231 |
L(r)(E,1)/r! |
Ω |
0.17210856608029 |
Real period |
R |
1.16047525335 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595e2 10725h2 |
Quadratic twists by: 5 -11 |