Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
48480x |
Isogeny class |
Conductor |
48480 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-618180600000 = -1 · 26 · 3 · 55 · 1013 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 -2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-410,-38100] |
[a1,a2,a3,a4,a6] |
Generators |
[210:3030:1] |
Generators of the group modulo torsion |
j |
-119386201024/9659071875 |
j-invariant |
L |
8.9402621455273 |
L(r)(E,1)/r! |
Ω |
0.40351309665247 |
Real period |
R |
0.73853547915935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48480n1 96960bw1 |
Quadratic twists by: -4 8 |