Atkin-Lehner |
2- 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
24780g |
Isogeny class |
Conductor |
24780 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
3893760 |
Modular degree for the optimal curve |
Δ |
-2.3443541427612E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12334785,75534074442] |
[a1,a2,a3,a4,a6] |
Generators |
[-5061:91125:1] |
Generators of the group modulo torsion |
j |
-12971748402759257587204096/146522133922576904296875 |
j-invariant |
L |
4.8133389548302 |
L(r)(E,1)/r! |
Ω |
0.069580116624928 |
Real period |
R |
1.1529488567298 |
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 |
99120cv1 74340n1 123900w1 |
Quadratic twists by: -4 -3 5 |