Atkin-Lehner |
2+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20776a |
Isogeny class |
Conductor |
20776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11424 |
Modular degree for the optimal curve |
Δ |
4888551248 = 24 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ -5 -1 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1143,14876] |
[a1,a2,a3,a4,a6] |
Generators |
[23:15:1] |
Generators of the group modulo torsion |
j |
1792000/53 |
j-invariant |
L |
7.0164869092001 |
L(r)(E,1)/r! |
Ω |
1.362231223393 |
Real period |
R |
2.5753656166108 |
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 |
41552b1 20776c1 |
Quadratic twists by: -4 -7 |