Atkin-Lehner |
2+ 3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56610d |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-36683280000 = -1 · 27 · 36 · 54 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -2 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,810,-2700] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-120:1] |
Generators of the group modulo torsion |
j |
80565593759/50320000 |
j-invariant |
L |
2.3702728650551 |
L(r)(E,1)/r! |
Ω |
0.66632090193493 |
Real period |
R |
0.88931356430004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999396 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6290i1 |
Quadratic twists by: -3 |