Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400ed |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-236544000000 = -1 · 216 · 3 · 56 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1392,11712] |
[a1,a2,a3,a4,a6] |
Generators |
[17:200:1] |
Generators of the group modulo torsion |
j |
4657463/3696 |
j-invariant |
L |
5.912815624882 |
L(r)(E,1)/r! |
Ω |
0.63734992453711 |
Real period |
R |
2.31929721846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550cg1 3696u1 |
Quadratic twists by: -4 5 |