Atkin-Lehner |
3+ 5- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
35805k |
Isogeny class |
Conductor |
35805 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
13582801124825625 = 34 · 54 · 74 · 112 · 314 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1553950,-746222590] |
[a1,a2,a3,a4,a6] |
j |
414987343903908644248801/13582801124825625 |
j-invariant |
L |
1.0817605338566 |
L(r)(E,1)/r! |
Ω |
0.13522006673099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107415n4 |
Quadratic twists by: -3 |