Atkin-Lehner |
2+ 3+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
23496a |
Isogeny class |
Conductor |
23496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
278400 |
Modular degree for the optimal curve |
Δ |
-11463314616711936 = -1 · 28 · 36 · 11 · 895 |
Discriminant |
Eigenvalues |
2+ 3+ -3 0 11- 7 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-224137,-41092019] |
[a1,a2,a3,a4,a6] |
j |
-4864367169565416448/44778572721531 |
j-invariant |
L |
0.87718765191661 |
L(r)(E,1)/r! |
Ω |
0.10964845648958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46992c1 70488h1 |
Quadratic twists by: -4 -3 |