Atkin-Lehner |
2+ 5- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
52520h |
Isogeny class |
Conductor |
52520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-1136112640 = -1 · 210 · 5 · 133 · 101 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-200,1888] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:52:1] |
Generators of the group modulo torsion |
j |
-868327204/1109485 |
j-invariant |
L |
3.7334045886975 |
L(r)(E,1)/r! |
Ω |
1.3956793552264 |
Real period |
R |
0.44582883296344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105040j1 |
Quadratic twists by: -4 |