Atkin-Lehner |
3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15675bb |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
495 |
Product of Tamagawa factors cp |
deg |
166320 |
Modular degree for the optimal curve |
Δ |
364888250759401875 = 311 · 54 · 113 · 195 |
Discriminant |
Eigenvalues |
-1 3- 5- 1 11- -3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-190038,13103217] |
[a1,a2,a3,a4,a6] |
Generators |
[57:1539:1] |
Generators of the group modulo torsion |
j |
1214409598355165425/583821201215043 |
j-invariant |
L |
3.8218821919986 |
L(r)(E,1)/r! |
Ω |
0.2689581780103 |
Real period |
R |
0.028706969174047 |
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 |
47025bk1 15675l1 |
Quadratic twists by: -3 5 |