Atkin-Lehner |
2- 3+ 11+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24882y |
Isogeny class |
Conductor |
24882 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-5275181356733574 = -1 · 2 · 32 · 115 · 137 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 11+ 13- -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,43186,545969] |
[a1,a2,a3,a4,a6] |
Generators |
[6:6077:8] |
Generators of the group modulo torsion |
j |
8907421935089661983/5275181356733574 |
j-invariant |
L |
9.3192926066322 |
L(r)(E,1)/r! |
Ω |
0.26196113366797 |
Real period |
R |
2.54107832065 |
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 |
74646ba1 |
Quadratic twists by: -3 |