Atkin-Lehner |
2+ 3- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
24486i |
Isogeny class |
Conductor |
24486 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1039296665375093664 = 25 · 316 · 76 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1047602,409695140] |
[a1,a2,a3,a4,a6] |
Generators |
[-726:28429:1] |
Generators of the group modulo torsion |
j |
127148743512111413246617/1039296665375093664 |
j-invariant |
L |
4.6537831761533 |
L(r)(E,1)/r! |
Ω |
0.2782174502511 |
Real period |
R |
0.34848215337448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73458bc2 |
Quadratic twists by: -3 |