Atkin-Lehner |
2+ 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43602b |
Isogeny class |
Conductor |
43602 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
2550408646656 = 212 · 3 · 136 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4059,-64995] |
[a1,a2,a3,a4,a6] |
Generators |
[83:381:1] |
Generators of the group modulo torsion |
j |
1532808577/528384 |
j-invariant |
L |
2.7031768393293 |
L(r)(E,1)/r! |
Ω |
0.61491891552161 |
Real period |
R |
2.1979945413054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
258d1 |
Quadratic twists by: 13 |