Atkin-Lehner |
2+ 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832p |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-496240383940886528 = -1 · 248 · 41 · 43 |
Discriminant |
Eigenvalues |
2+ -1 -2 -3 2 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40831,-33757055] |
[a1,a2,a3,a4,a6] |
Generators |
[12515537:225639944:29791] |
Generators of the group modulo torsion |
j |
28717273414367/1893006835712 |
j-invariant |
L |
3.5550774405649 |
L(r)(E,1)/r! |
Ω |
0.1404180392595 |
Real period |
R |
12.658905785735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999475613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832bj1 3526c1 |
Quadratic twists by: -4 8 |