Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080br |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-17305600000 = -1 · 215 · 55 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- -5 -1 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2305,42303] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:200:1] [31:40:1] |
Generators of the group modulo torsion |
j |
-244674248/3125 |
j-invariant |
L |
6.1434535791453 |
L(r)(E,1)/r! |
Ω |
1.2357359159275 |
Real period |
R |
0.24857469544892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080bo1 27040d1 54080v1 |
Quadratic twists by: -4 8 13 |