Atkin-Lehner |
2- 11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91234r |
Isogeny class |
Conductor |
91234 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
330739200 |
Modular degree for the optimal curve |
Δ |
-3.3506954972438E+32 |
Discriminant |
Eigenvalues |
2- 1 3 1 11- 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,16697270791,293203834105337] |
[a1,a2,a3,a4,a6] |
Generators |
[11122989261199479983468282:11448056155287830641225300203:415704945226287035593] |
Generators of the group modulo torsion |
j |
290605662666279325370952010583/189138025574269452879570944 |
j-invariant |
L |
16.167476676505 |
L(r)(E,1)/r! |
Ω |
0.01069214997296 |
Real period |
R |
34.365647009066 |
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 |
8294a1 |
Quadratic twists by: -11 |