Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
92778bd |
Isogeny class |
Conductor |
92778 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-934758370057681008 = -1 · 24 · 314 · 76 · 473 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21854,46531380] |
[a1,a2,a3,a4,a6] |
Generators |
[1078:35182:1] |
Generators of the group modulo torsion |
j |
-11117936687759/9003384318096 |
j-invariant |
L |
11.553851849669 |
L(r)(E,1)/r! |
Ω |
0.22565474269719 |
Real period |
R |
0.30477058368353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92778bb1 |
Quadratic twists by: -47 |