Atkin-Lehner |
2- 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69454o |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1220822701119868 = -1 · 22 · 7 · 1110 · 412 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,19902,1289344] |
[a1,a2,a3,a4,a6] |
Generators |
[4256:275688:1] |
Generators of the group modulo torsion |
j |
492103442375/689122588 |
j-invariant |
L |
4.9563950426214 |
L(r)(E,1)/r! |
Ω |
0.32837551288294 |
Real period |
R |
3.7734201001651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6314e1 |
Quadratic twists by: -11 |