Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232cy |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-5.6396447641904E+20 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 11- 3 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1386015,954009729] |
[a1,a2,a3,a4,a6] |
Generators |
[304395:17122608:125] |
Generators of the group modulo torsion |
j |
43307231/82944 |
j-invariant |
L |
4.3060508781629 |
L(r)(E,1)/r! |
Ω |
0.11287920850668 |
Real period |
R |
9.5368556688367 |
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 |
23232bu1 5808bd1 69696gf1 23232cx1 |
Quadratic twists by: -4 8 -3 -11 |