Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800bx |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
3242178075125000000 = 26 · 59 · 1110 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-382158,-27503188] |
[a1,a2,a3,a4,a6] |
Generators |
[2925465074:88606720950:2352637] |
Generators of the group modulo torsion |
j |
3484156096/1830125 |
j-invariant |
L |
10.397429971157 |
L(r)(E,1)/r! |
Ω |
0.20358844568231 |
Real period |
R |
12.767706367794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96800x1 19360f1 8800g1 |
Quadratic twists by: -4 5 -11 |