Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400ei |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
155250000000000 = 210 · 33 · 512 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16533,-562437] |
[a1,a2,a3,a4,a6] |
Generators |
[159:924:1] |
Generators of the group modulo torsion |
j |
31238127616/9703125 |
j-invariant |
L |
10.360729300505 |
L(r)(E,1)/r! |
Ω |
0.43126062504656 |
Real period |
R |
4.0040479283323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400gc1 6900e1 22080f1 |
Quadratic twists by: -4 8 5 |