Atkin-Lehner |
3- 5+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122265m |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
-19386300131055 = -1 · 310 · 5 · 112 · 134 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2408,217266] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-450:1] |
Generators of the group modulo torsion |
j |
-2117368939321/26593004295 |
j-invariant |
L |
2.6633739571239 |
L(r)(E,1)/r! |
Ω |
0.58218410724105 |
Real period |
R |
1.1436992444212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999994850949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40755g1 |
Quadratic twists by: -3 |