Atkin-Lehner |
2- 3- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110838cc |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
2954880 |
Modular degree for the optimal curve |
Δ |
-106108451500326912 = -1 · 219 · 33 · 76 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 3 13+ -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2548932,-1566628848] |
[a1,a2,a3,a4,a6] |
j |
-15567190192349720497/901906956288 |
j-invariant |
L |
6.8105669217643 |
L(r)(E,1)/r! |
Ω |
0.059741825103288 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2262i1 |
Quadratic twists by: -7 |