Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775m |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-149296875 = -1 · 3 · 57 · 72 · 13 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 1 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,117,293] |
[a1,a2,a3,a4,a6] |
Generators |
[7:37:1] |
Generators of the group modulo torsion |
j |
229376/195 |
j-invariant |
L |
3.6339706357652 |
L(r)(E,1)/r! |
Ω |
1.1868325852554 |
Real period |
R |
0.76547667314999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9555t1 47775bu1 |
Quadratic twists by: 5 -7 |