Atkin-Lehner |
3- 5+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
69615k |
Isogeny class |
Conductor |
69615 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-7878182270765625 = -1 · 36 · 56 · 72 · 132 · 174 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 2 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-85703,10580456] |
[a1,a2,a3,a4,a6] |
Generators |
[156:-1073:1] [-60:3967:1] |
Generators of the group modulo torsion |
j |
-95494752302662441/10806834390625 |
j-invariant |
L |
6.5926757849099 |
L(r)(E,1)/r! |
Ω |
0.40444805146444 |
Real period |
R |
1.0187766638136 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7735d2 |
Quadratic twists by: -3 |