Atkin-Lehner |
2- 11+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
23188a |
Isogeny class |
Conductor |
23188 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33048 |
Modular degree for the optimal curve |
Δ |
15935043752144 = 24 · 113 · 176 · 31 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11+ 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12116,-476035] |
[a1,a2,a3,a4,a6] |
j |
12293669216305152/995940234509 |
j-invariant |
L |
0.2286957984589 |
L(r)(E,1)/r! |
Ω |
0.45739159691784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92752r1 |
Quadratic twists by: -4 |