Atkin-Lehner |
2- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
4012a |
Isogeny class |
Conductor |
4012 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
-272816 = -1 · 24 · 172 · 59 |
Discriminant |
Eigenvalues |
2- -3 -3 -1 -2 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-184,961] |
[a1,a2,a3,a4,a6] |
Generators |
[38:221:1] [-6:43:1] |
Generators of the group modulo torsion |
j |
-43058331648/17051 |
j-invariant |
L |
2.6459319378598 |
L(r)(E,1)/r! |
Ω |
3.0413457788417 |
Real period |
R |
0.14499786883099 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16048v1 64192p1 36108g1 100300f1 |
Quadratic twists by: -4 8 -3 5 |