Atkin-Lehner |
3- 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
63825l |
Isogeny class |
Conductor |
63825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
123264 |
Modular degree for the optimal curve |
Δ |
-6280180546875 = -1 · 3 · 57 · 232 · 373 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 -2 -3 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9033,-354781] |
[a1,a2,a3,a4,a6] |
Generators |
[149:1276:1] |
Generators of the group modulo torsion |
j |
-5217323843584/401931555 |
j-invariant |
L |
3.9425267065455 |
L(r)(E,1)/r! |
Ω |
0.243776259285 |
Real period |
R |
1.3477271869681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12765b1 |
Quadratic twists by: 5 |