Atkin-Lehner |
2+ 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736j |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
-116235406525464576 = -1 · 217 · 39 · 7 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 2 3 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35316,-16203024] |
[a1,a2,a3,a4,a6] |
Generators |
[462:-9936:1] [238:2384:1] |
Generators of the group modulo torsion |
j |
1888152282/45054401 |
j-invariant |
L |
9.4182846608288 |
L(r)(E,1)/r! |
Ω |
0.1609717452752 |
Real period |
R |
1.462723263158 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736dl1 11592b1 92736e1 |
Quadratic twists by: -4 8 -3 |