Atkin-Lehner |
7+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49147a |
Isogeny class |
Conductor |
49147 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67104 |
Modular degree for the optimal curve |
Δ |
-41062269353 = -1 · 74 · 173 · 592 |
Discriminant |
Eigenvalues |
1 1 -4 7+ -5 5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173,-9803] |
[a1,a2,a3,a4,a6] |
Generators |
[391:7533:1] |
Generators of the group modulo torsion |
j |
-236513641/17102153 |
j-invariant |
L |
4.0053369546823 |
L(r)(E,1)/r! |
Ω |
0.5050711615893 |
Real period |
R |
3.9651214119015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49147g1 |
Quadratic twists by: -7 |