Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600f |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82560 |
Modular degree for the optimal curve |
Δ |
-967500000000 = -1 · 28 · 32 · 510 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 3 5 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10833,-432963] |
[a1,a2,a3,a4,a6] |
Generators |
[698154:206242923:8] |
Generators of the group modulo torsion |
j |
-56243200/387 |
j-invariant |
L |
5.7135179932654 |
L(r)(E,1)/r! |
Ω |
0.23388399845793 |
Real period |
R |
12.214426876087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25800bi1 51600bi1 |
Quadratic twists by: -4 5 |