Atkin-Lehner |
3- 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
63825n |
Isogeny class |
Conductor |
63825 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
355200 |
Modular degree for the optimal curve |
Δ |
-232238232421875 = -1 · 35 · 511 · 232 · 37 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 2 -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-459383,119691644] |
[a1,a2,a3,a4,a6] |
Generators |
[418:937:1] |
Generators of the group modulo torsion |
j |
-686166309029380096/14863246875 |
j-invariant |
L |
6.4035976166493 |
L(r)(E,1)/r! |
Ω |
0.51506825482038 |
Real period |
R |
0.31081306001283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12765d1 |
Quadratic twists by: 5 |