Atkin-Lehner |
2+ 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306l |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-528568913243168 = -1 · 25 · 76 · 174 · 412 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3733,1110549] |
[a1,a2,a3,a4,a6] |
Generators |
[41:992:1] [59:1016:1] |
Generators of the group modulo torsion |
j |
-48907434393/4492761632 |
j-invariant |
L |
6.6579324637494 |
L(r)(E,1)/r! |
Ω |
0.42840150852205 |
Real period |
R |
3.8853343950223 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1394b2 |
Quadratic twists by: -7 |