Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200dg |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-9472000000000 = -1 · 217 · 59 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 3 0 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,148063] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-400:1] |
Generators of the group modulo torsion |
j |
-2/4625 |
j-invariant |
L |
4.4026673848886 |
L(r)(E,1)/r! |
Ω |
0.57904061247439 |
Real period |
R |
0.95042283955943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200bc1 14800c1 11840y1 |
Quadratic twists by: -4 8 5 |