Atkin-Lehner |
2- 3- 37+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28638l |
Isogeny class |
Conductor |
28638 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
32000 |
Modular degree for the optimal curve |
Δ |
-4787815392 = -1 · 25 · 37 · 37 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 5 -3 5 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,400,-1357] |
[a1,a2,a3,a4,a6] |
Generators |
[51:361:1] |
Generators of the group modulo torsion |
j |
9731810375/6567648 |
j-invariant |
L |
9.8364952905491 |
L(r)(E,1)/r! |
Ω |
0.77799813200247 |
Real period |
R |
0.3160835124768 |
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 |
9546d1 |
Quadratic twists by: -3 |