Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736eu |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-5849205239808 = -1 · 212 · 36 · 7 · 234 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 4 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12612,557440] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:1012:1] [32:432:1] |
Generators of the group modulo torsion |
j |
-74299881664/1958887 |
j-invariant |
L |
9.040361169668 |
L(r)(E,1)/r! |
Ω |
0.75618177971838 |
Real period |
R |
1.4944093821561 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736fe1 46368bn1 10304v1 |
Quadratic twists by: -4 8 -3 |