Atkin-Lehner |
2+ 5+ 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
23690b |
Isogeny class |
Conductor |
23690 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-201061768000000000 = -1 · 212 · 59 · 23 · 1033 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 0 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-246339,51748286] |
[a1,a2,a3,a4,a6] |
Generators |
[-321:10048:1] |
Generators of the group modulo torsion |
j |
-1653182122234386910249/201061768000000000 |
j-invariant |
L |
2.6164548666822 |
L(r)(E,1)/r! |
Ω |
0.30822685969757 |
Real period |
R |
1.4147884825533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118450j2 |
Quadratic twists by: 5 |