Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232bu |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
16 |
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 |
[21153:668672:27] |
Generators of the group modulo torsion |
j |
43307231/82944 |
j-invariant |
L |
7.9771384069685 |
L(r)(E,1)/r! |
Ω |
0.085589510959022 |
Real period |
R |
5.8251431144902 |
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 |
23232cy1 726b1 69696bz1 23232bv1 |
Quadratic twists by: -4 8 -3 -11 |