Atkin-Lehner |
7- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
49147c |
Isogeny class |
Conductor |
49147 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-2006033099 = -1 · 76 · 172 · 59 |
Discriminant |
Eigenvalues |
1 -1 -1 7- 4 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-368,3319] |
[a1,a2,a3,a4,a6] |
Generators |
[14:27:1] |
Generators of the group modulo torsion |
j |
-47045881/17051 |
j-invariant |
L |
4.2920328349076 |
L(r)(E,1)/r! |
Ω |
1.3874238351382 |
Real period |
R |
1.5467634064692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1003b1 |
Quadratic twists by: -7 |