Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
109800t |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
-3403101575376000000 = -1 · 210 · 320 · 56 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 5 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,368925,-20943250] |
[a1,a2,a3,a4,a6] |
Generators |
[1299707885:226335961116:42875] |
Generators of the group modulo torsion |
j |
476091534236/291761109 |
j-invariant |
L |
8.8831184368943 |
L(r)(E,1)/r! |
Ω |
0.14514085887155 |
Real period |
R |
15.300857538073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36600v1 4392d1 |
Quadratic twists by: -3 5 |