Atkin-Lehner |
3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255p |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
927360 |
Modular degree for the optimal curve |
Δ |
-1.3407908152386E+20 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ 11- -3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-157437,557625647] |
[a1,a2,a3,a4,a6] |
Generators |
[2466:185621:8] |
Generators of the group modulo torsion |
j |
-3803369472/1181640625 |
j-invariant |
L |
11.186586926486 |
L(r)(E,1)/r! |
Ω |
0.15013730632431 |
Real period |
R |
1.8627260606239 |
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 |
24255b1 121275l1 24255l1 |
Quadratic twists by: -3 5 -7 |