Atkin-Lehner |
2+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49126c |
Isogeny class |
Conductor |
49126 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
91520 |
Modular degree for the optimal curve |
Δ |
-644451374336 = -1 · 28 · 72 · 116 · 29 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 11- 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12344,-534464] |
[a1,a2,a3,a4,a6] |
Generators |
[128:-8:1] |
Generators of the group modulo torsion |
j |
-117433042273/363776 |
j-invariant |
L |
2.6277517175758 |
L(r)(E,1)/r! |
Ω |
0.22642294663263 |
Real period |
R |
2.901375232364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
406c1 |
Quadratic twists by: -11 |