Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
22932y |
Isogeny class |
Conductor |
22932 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2761371316227888 = -1 · 24 · 311 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22344,2177021] |
[a1,a2,a3,a4,a6] |
Generators |
[79:2106:1] |
Generators of the group modulo torsion |
j |
899022848/2012283 |
j-invariant |
L |
4.4012549724699 |
L(r)(E,1)/r! |
Ω |
0.31530546672158 |
Real period |
R |
1.7448377196851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728fq1 7644c1 3276f1 |
Quadratic twists by: -4 -3 -7 |