Atkin-Lehner |
2+ 3- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23478n |
Isogeny class |
Conductor |
23478 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
27250143206832 = 24 · 314 · 72 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7816,-88090] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:395:1] |
Generators of the group modulo torsion |
j |
52795570531173625/27250143206832 |
j-invariant |
L |
4.4810851115602 |
L(r)(E,1)/r! |
Ω |
0.53699016889905 |
Real period |
R |
0.29802920659127 |
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 |
70434bf2 |
Quadratic twists by: -3 |