Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53424l |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1618592419170026496 = 210 · 314 · 76 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-455979,101481770] |
[a1,a2,a3,a4,a6] |
Generators |
[-467:14580:1] |
Generators of the group modulo torsion |
j |
14045291353374628/2168253305001 |
j-invariant |
L |
7.817206410236 |
L(r)(E,1)/r! |
Ω |
0.25549529068056 |
Real period |
R |
2.549690312432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26712d2 17808f2 |
Quadratic twists by: -4 -3 |