Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312g |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-1856141217824768 = -1 · 216 · 78 · 173 |
Discriminant |
Eigenvalues |
2+ 3 -2 7+ -5 7 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17836,2266544] |
[a1,a2,a3,a4,a6] |
Generators |
[138:39824:27] |
Generators of the group modulo torsion |
j |
-1660932/4913 |
j-invariant |
L |
9.5443587623373 |
L(r)(E,1)/r! |
Ω |
0.41272952210449 |
Real period |
R |
5.7812430727185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312bm1 6664a1 53312bf1 |
Quadratic twists by: -4 8 -7 |