Atkin-Lehner |
3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23925bd |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
-1717216875 = -1 · 33 · 54 · 112 · 292 |
Discriminant |
Eigenvalues |
-2 3- 5- -5 11+ -1 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,292,644] |
[a1,a2,a3,a4,a6] |
Generators |
[178:2392:1] [-6:161:8] |
Generators of the group modulo torsion |
j |
4390400000/2747547 |
j-invariant |
L |
4.3697367568791 |
L(r)(E,1)/r! |
Ω |
0.92525834521215 |
Real period |
R |
0.13118668662436 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71775cb1 23925d1 |
Quadratic twists by: -3 5 |