Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
22932t |
Isogeny class |
Conductor |
22932 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-466671752442513072 = -1 · 24 · 311 · 78 · 134 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-138180,38355289] |
[a1,a2,a3,a4,a6] |
Generators |
[168:4459:1] |
Generators of the group modulo torsion |
j |
-212629504000/340075827 |
j-invariant |
L |
5.4909861414839 |
L(r)(E,1)/r! |
Ω |
0.26535660191383 |
Real period |
R |
0.86220236307817 |
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 |
91728ex1 7644h1 3276e1 |
Quadratic twists by: -4 -3 -7 |