Atkin-Lehner |
3+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48165l |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
94848 |
Modular degree for the optimal curve |
Δ |
697449766455 = 32 · 5 · 138 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5- -3 2 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22565,1294652] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-289:1] |
Generators of the group modulo torsion |
j |
1557701041/855 |
j-invariant |
L |
2.9514525752937 |
L(r)(E,1)/r! |
Ω |
0.89369372517018 |
Real period |
R |
0.55042208386928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48165b1 |
Quadratic twists by: 13 |