Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200ip |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-103482261504000 = -1 · 220 · 37 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10527,-254817] |
[a1,a2,a3,a4,a6] |
Generators |
[33:360:1] [42:513:1] |
Generators of the group modulo torsion |
j |
3936827539/3158028 |
j-invariant |
L |
12.847737669888 |
L(r)(E,1)/r! |
Ω |
0.33117952756081 |
Real period |
R |
1.3854955869204 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200ca1 22800cp1 91200gq1 |
Quadratic twists by: -4 8 5 |