Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424f |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1938650112 = -1 · 210 · 36 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,141,2018] |
[a1,a2,a3,a4,a6] |
Generators |
[11:70:1] |
Generators of the group modulo torsion |
j |
415292/2597 |
j-invariant |
L |
6.6367481881882 |
L(r)(E,1)/r! |
Ω |
1.0708193231307 |
Real period |
R |
1.5494556468922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26712k1 5936a1 |
Quadratic twists by: -4 -3 |