Atkin-Lehner |
2+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49126b |
Isogeny class |
Conductor |
49126 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26208 |
Modular degree for the optimal curve |
Δ |
-1408540672 = -1 · 213 · 72 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 0 4 7+ 11- -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,280,-192] |
[a1,a2,a3,a4,a6] |
Generators |
[39:243:1] |
Generators of the group modulo torsion |
j |
20023485471/11640832 |
j-invariant |
L |
5.2149592447842 |
L(r)(E,1)/r! |
Ω |
0.89827564293029 |
Real period |
R |
2.9027611322939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49126g1 |
Quadratic twists by: -11 |