Atkin-Lehner |
2+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23408c |
Isogeny class |
Conductor |
23408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-28838656 = -1 · 28 · 72 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,76,76] |
[a1,a2,a3,a4,a6] |
Generators |
[6:28:1] |
Generators of the group modulo torsion |
j |
187153328/112651 |
j-invariant |
L |
2.2961754031805 |
L(r)(E,1)/r! |
Ω |
1.2865978525306 |
Real period |
R |
0.89234386590345 |
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 |
11704c2 93632p2 |
Quadratic twists by: -4 8 |