Atkin-Lehner |
2+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35360d |
Isogeny class |
Conductor |
35360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-125032960000 = -1 · 212 · 54 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -2 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1108,-9376] |
[a1,a2,a3,a4,a6] |
Generators |
[10:52:1] [13:85:1] |
Generators of the group modulo torsion |
j |
36726796224/30525625 |
j-invariant |
L |
8.4953308428608 |
L(r)(E,1)/r! |
Ω |
0.57757996191061 |
Real period |
R |
0.9192808142485 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35360j2 70720j1 |
Quadratic twists by: -4 8 |