Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
84700i |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1.0087643196308E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1075892,221018712] |
[a1,a2,a3,a4,a6] |
Generators |
[428140491:40798486918:1860867] |
Generators of the group modulo torsion |
j |
160630448/117649 |
j-invariant |
L |
10.005703440832 |
L(r)(E,1)/r! |
Ω |
0.1204457529371 |
Real period |
R |
13.845380191031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999899834 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3388g2 84700r2 |
Quadratic twists by: 5 -11 |