Atkin-Lehner |
2- 3+ 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450cb |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
118656 |
Modular degree for the optimal curve |
Δ |
-352097748750 = -1 · 2 · 3 · 54 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,687,27981] |
[a1,a2,a3,a4,a6] |
Generators |
[462:3879:8] |
Generators of the group modulo torsion |
j |
57368618975/563356398 |
j-invariant |
L |
11.071799056856 |
L(r)(E,1)/r! |
Ω |
0.70356418574962 |
Real period |
R |
2.6227881986953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87450bb1 |
Quadratic twists by: 5 |