Atkin-Lehner |
2+ 7+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
13706d |
Isogeny class |
Conductor |
13706 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-103826338251707456 = -1 · 26 · 74 · 112 · 895 |
Discriminant |
Eigenvalues |
2+ -3 -3 7+ 11- 6 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6571,15505861] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-3931:1] |
Generators of the group modulo torsion |
j |
-31380169872616713/103826338251707456 |
j-invariant |
L |
1.6324372002762 |
L(r)(E,1)/r! |
Ω |
0.26927899897346 |
Real period |
R |
0.15155630465979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109648v1 123354bp1 95942s1 |
Quadratic twists by: -4 -3 -7 |