Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600dw |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-2600045568000000000 = -1 · 219 · 310 · 59 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 4 -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,342792,7269588] |
[a1,a2,a3,a4,a6] |
Generators |
[108:6750:1] |
Generators of the group modulo torsion |
j |
556832393083/325005696 |
j-invariant |
L |
6.5811171789766 |
L(r)(E,1)/r! |
Ω |
0.15502555088974 |
Real period |
R |
1.0612955640484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6450g1 51600ci1 |
Quadratic twists by: -4 5 |