Atkin-Lehner |
3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255d |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-196101675 = -1 · 33 · 52 · 74 · 112 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ 11- 1 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1323,18534] |
[a1,a2,a3,a4,a6] |
Generators |
[56:-347:1] [-31:172:1] |
Generators of the group modulo torsion |
j |
-3950456832/3025 |
j-invariant |
L |
4.0931985171453 |
L(r)(E,1)/r! |
Ω |
1.7742097629455 |
Real period |
R |
0.096127268475404 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24255n1 121275k1 24255x1 |
Quadratic twists by: -3 5 -7 |