Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93104l |
Isogeny class |
Conductor |
93104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-3487031552592368 = -1 · 24 · 112 · 239 |
Discriminant |
Eigenvalues |
2- -1 0 -4 11+ 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11462,-2805385] |
[a1,a2,a3,a4,a6] |
Generators |
[15290:669185:8] |
Generators of the group modulo torsion |
j |
70304000/1472207 |
j-invariant |
L |
3.9762559322645 |
L(r)(E,1)/r! |
Ω |
0.21612728363294 |
Real period |
R |
2.2997188638551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23276c1 4048j1 |
Quadratic twists by: -4 -23 |