Atkin-Lehner |
2+ 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200l |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-87840000000 = -1 · 211 · 32 · 57 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1408,25312] |
[a1,a2,a3,a4,a6] |
Generators |
[12:100:1] [-38:150:1] |
Generators of the group modulo torsion |
j |
-9653618/2745 |
j-invariant |
L |
7.986346127812 |
L(r)(E,1)/r! |
Ω |
1.0202243812427 |
Real period |
R |
0.24462590885168 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36600bc1 14640l1 |
Quadratic twists by: -4 5 |