Atkin-Lehner |
3- 5+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
63135f |
Isogeny class |
Conductor |
63135 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-5753176875 = -1 · 38 · 54 · 23 · 61 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 5 -5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,402,-1922] |
[a1,a2,a3,a4,a6] |
Generators |
[46:337:1] |
Generators of the group modulo torsion |
j |
9855401984/7891875 |
j-invariant |
L |
4.7556850405459 |
L(r)(E,1)/r! |
Ω |
0.74942005092142 |
Real period |
R |
0.79322754884709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21045a1 |
Quadratic twists by: -3 |