Atkin-Lehner |
3- 5+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
122475s |
Isogeny class |
Conductor |
122475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
212544 |
Modular degree for the optimal curve |
Δ |
-788291108925 = -1 · 3 · 52 · 236 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 6 0 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11168,-457203] |
[a1,a2,a3,a4,a6] |
Generators |
[19846998573:62851032565:154854153] |
Generators of the group modulo torsion |
j |
-6161867420562985/31531644357 |
j-invariant |
L |
6.0876307455978 |
L(r)(E,1)/r! |
Ω |
0.23213605098668 |
Real period |
R |
13.112204501892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122475n1 |
Quadratic twists by: 5 |