Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275eq |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
2166934650890625 = 37 · 56 · 78 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-375080,88481922] |
[a1,a2,a3,a4,a6] |
j |
4354703137/1617 |
j-invariant |
L |
1.8184180092015 |
L(r)(E,1)/r! |
Ω |
0.45460459429525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40425k1 4851o1 17325u1 |
Quadratic twists by: -3 5 -7 |