Atkin-Lehner |
2+ 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
53950q |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
160704 |
Modular degree for the optimal curve |
Δ |
-3865280120000 = -1 · 26 · 54 · 132 · 833 |
Discriminant |
Eigenvalues |
2+ 1 5- -4 0 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38526,2908848] |
[a1,a2,a3,a4,a6] |
Generators |
[-1674:11623:8] [-147:2397:1] |
Generators of the group modulo torsion |
j |
-10117873632805225/6184448192 |
j-invariant |
L |
7.5856131354516 |
L(r)(E,1)/r! |
Ω |
0.77598365731732 |
Real period |
R |
2.4438701330644 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
53950s1 |
Quadratic twists by: 5 |