Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850i |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-89437500 = -1 · 22 · 33 · 56 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,33,441] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-27:1] [-18:159:8] |
Generators of the group modulo torsion |
j |
9261/212 |
j-invariant |
L |
5.3494437329607 |
L(r)(E,1)/r! |
Ω |
1.4306604779492 |
Real period |
R |
0.93478568385236 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23850bw1 954g1 |
Quadratic twists by: -3 5 |