Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
46128p |
Isogeny class |
Conductor |
46128 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-6642432 = -1 · 28 · 33 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 -2 -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41,147] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:15:1] |
Generators of the group modulo torsion |
j |
-31744/27 |
j-invariant |
L |
9.5873123569459 |
L(r)(E,1)/r! |
Ω |
2.1713189126916 |
Real period |
R |
1.4718108735515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23064d1 46128b1 |
Quadratic twists by: -4 -31 |