Atkin-Lehner |
2- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49088o |
Isogeny class |
Conductor |
49088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-5931401216 = -1 · 217 · 13 · 592 |
Discriminant |
Eigenvalues |
2- -1 -3 -3 -2 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13697,621601] |
[a1,a2,a3,a4,a6] |
Generators |
[1767:-944:27] [-105:944:1] |
Generators of the group modulo torsion |
j |
-2168312432834/45253 |
j-invariant |
L |
5.4727105802549 |
L(r)(E,1)/r! |
Ω |
1.2421220089252 |
Real period |
R |
0.55074205079413 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49088d1 12272d1 |
Quadratic twists by: -4 8 |