Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126852l |
Isogeny class |
Conductor |
126852 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35020800 |
Modular degree for the optimal curve |
Δ |
-1.1989991933897E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-887500157,10176395239200] |
[a1,a2,a3,a4,a6] |
Generators |
[-42602569984642896604338320837295117050365447963306:19192056114947169290551359552858961355781942690094485:4569473086666441722215244664823740717624981688] |
Generators of the group modulo torsion |
j |
-5444260314792559771648/84436212706659 |
j-invariant |
L |
12.10500552585 |
L(r)(E,1)/r! |
Ω |
0.079161018220812 |
Real period |
R |
76.458121673499 |
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 |
4092a1 |
Quadratic twists by: -31 |