Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20956f |
Isogeny class |
Conductor |
20956 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
2497200784 = 24 · 132 · 314 |
Discriminant |
Eigenvalues |
2- -1 -2 -1 1 13+ 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-394,1949] |
[a1,a2,a3,a4,a6] |
Generators |
[19:31:1] |
Generators of the group modulo torsion |
j |
2507884288/923521 |
j-invariant |
L |
3.0710758358431 |
L(r)(E,1)/r! |
Ω |
1.3233443726925 |
Real period |
R |
0.58017321477601 |
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 |
83824p1 20956a1 |
Quadratic twists by: -4 13 |