Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
48480b |
Isogeny class |
Conductor |
48480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
23561280 = 26 · 36 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-150,-720] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:6:1] |
Generators of the group modulo torsion |
j |
5870966464/368145 |
j-invariant |
L |
8.2906209879385 |
L(r)(E,1)/r! |
Ω |
1.3687960080995 |
Real period |
R |
2.0189570344764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48480a1 96960cd1 |
Quadratic twists by: -4 8 |