Atkin-Lehner |
2- 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
24780f |
Isogeny class |
Conductor |
24780 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-318732750000 = -1 · 24 · 32 · 56 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6105,187650] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-147:1] [-55:595:1] |
Generators of the group modulo torsion |
j |
-1573011399294976/19920796875 |
j-invariant |
L |
7.1583770859848 |
L(r)(E,1)/r! |
Ω |
0.96941175808302 |
Real period |
R |
0.20511800716885 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120cx1 74340q1 123900t1 |
Quadratic twists by: -4 -3 5 |