Atkin-Lehner |
3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53067b |
Isogeny class |
Conductor |
53067 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-417392408283574059 = -1 · 34 · 78 · 197 |
Discriminant |
Eigenvalues |
0 3+ 2 7+ -3 -2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-165097,40463751] |
[a1,a2,a3,a4,a6] |
Generators |
[-253:8122:1] [-215:8122:1] |
Generators of the group modulo torsion |
j |
-1835008/1539 |
j-invariant |
L |
7.7270874920173 |
L(r)(E,1)/r! |
Ω |
0.2735744247041 |
Real period |
R |
3.5306148867784 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53067p1 2793g1 |
Quadratic twists by: -7 -19 |