Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424bo |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
654567035472 = 24 · 38 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2460,-26273] |
[a1,a2,a3,a4,a6] |
Generators |
[69:364:1] |
Generators of the group modulo torsion |
j |
141150208000/56118573 |
j-invariant |
L |
6.1643201200824 |
L(r)(E,1)/r! |
Ω |
0.70152447919811 |
Real period |
R |
2.9290116514774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999655 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13356c1 17808v1 |
Quadratic twists by: -4 -3 |