Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255ca |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
53045685 = 39 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 11- 5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-147,-590] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] |
Generators of the group modulo torsion |
j |
9834496/1485 |
j-invariant |
L |
3.041572945327 |
L(r)(E,1)/r! |
Ω |
1.384989234986 |
Real period |
R |
1.098049309155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8085h1 121275es1 24255bb1 |
Quadratic twists by: -3 5 -7 |