Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
24240bo |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-41886720000 = -1 · 213 · 34 · 54 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -4 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120,-9900] |
[a1,a2,a3,a4,a6] |
Generators |
[30:120:1] |
Generators of the group modulo torsion |
j |
-47045881/10226250 |
j-invariant |
L |
7.4744073716068 |
L(r)(E,1)/r! |
Ω |
0.51049057814672 |
Real period |
R |
0.22877526085857 |
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 |
3030f1 96960bz1 72720bj1 121200ci1 |
Quadratic twists by: -4 8 -3 5 |