Atkin-Lehner |
3+ 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11985a |
Isogeny class |
Conductor |
11985 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-5501115 = -1 · 34 · 5 · 172 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 0 5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-601,5877] |
[a1,a2,a3,a4,a6] |
Generators |
[25:76:1] |
Generators of the group modulo torsion |
j |
-24047478636544/5501115 |
j-invariant |
L |
3.6198186619495 |
L(r)(E,1)/r! |
Ω |
2.3461943293479 |
Real period |
R |
0.3857117265043 |
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 |
35955n1 59925t1 |
Quadratic twists by: -3 5 |