Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
26400bm |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-2475000000 = -1 · 26 · 32 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,242,-1988] |
[a1,a2,a3,a4,a6] |
Generators |
[12:50:1] |
Generators of the group modulo torsion |
j |
1560896/2475 |
j-invariant |
L |
3.6484906277718 |
L(r)(E,1)/r! |
Ω |
0.76414640276926 |
Real period |
R |
1.1936490882342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26400r1 52800cm2 79200bf1 5280h1 |
Quadratic twists by: -4 8 -3 5 |