Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200cj |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-1772928000000000 = -1 · 216 · 36 · 59 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32833,-3046463] |
[a1,a2,a3,a4,a6] |
Generators |
[271:2808:1] |
Generators of the group modulo torsion |
j |
-30581492/13851 |
j-invariant |
L |
2.5026604789931 |
L(r)(E,1)/r! |
Ω |
0.17353840929866 |
Real period |
R |
3.6053408685996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200ix1 11400r1 91200ev1 |
Quadratic twists by: -4 8 5 |