Atkin-Lehner |
2- 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59878x |
Isogeny class |
Conductor |
59878 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-6859157194932224 = -1 · 220 · 77 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 1 3 7- -3 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-214719,-38520679] |
[a1,a2,a3,a4,a6] |
Generators |
[550:2861:1] |
Generators of the group modulo torsion |
j |
-9305656686742753/58301874176 |
j-invariant |
L |
14.251452684093 |
L(r)(E,1)/r! |
Ω |
0.11085092371521 |
Real period |
R |
1.6070516381698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554l1 |
Quadratic twists by: -7 |