Atkin-Lehner |
2+ 3+ 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
23478c |
Isogeny class |
Conductor |
23478 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-141331819659803136 = -1 · 29 · 314 · 74 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-60501,18947565] |
[a1,a2,a3,a4,a6] |
Generators |
[-329:2002:1] |
Generators of the group modulo torsion |
j |
-24491906184730637017/141331819659803136 |
j-invariant |
L |
2.4465600580399 |
L(r)(E,1)/r! |
Ω |
0.2824474542195 |
Real period |
R |
4.3310003710259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70434bc2 |
Quadratic twists by: -3 |