Atkin-Lehner |
2+ 3- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20646h |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-427687340544 = -1 · 29 · 39 · 31 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 3 1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-720,32512] |
[a1,a2,a3,a4,a6] |
Generators |
[23:155:1] |
Generators of the group modulo torsion |
j |
-56667352321/586676736 |
j-invariant |
L |
3.3219536374795 |
L(r)(E,1)/r! |
Ω |
0.80329832623455 |
Real period |
R |
1.0338480515237 |
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 |
6882h1 |
Quadratic twists by: -3 |