Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255k |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4457694138975 = -1 · 39 · 52 · 77 · 11 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83,101602] |
[a1,a2,a3,a4,a6] |
Generators |
[2:317:1] |
Generators of the group modulo torsion |
j |
-27/1925 |
j-invariant |
L |
2.9168205697116 |
L(r)(E,1)/r! |
Ω |
0.61822171454848 |
Real period |
R |
2.3590408595094 |
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 |
24255s1 121275be1 3465c1 |
Quadratic twists by: -3 5 -7 |