Atkin-Lehner |
2+ 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26334t |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-3628324854 = -1 · 2 · 311 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-603,6547] |
[a1,a2,a3,a4,a6] |
Generators |
[47:260:1] |
Generators of the group modulo torsion |
j |
-33293019313/4977126 |
j-invariant |
L |
5.09962288576 |
L(r)(E,1)/r! |
Ω |
1.3549441745208 |
Real period |
R |
0.4704642986088 |
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 |
8778o1 |
Quadratic twists by: -3 |