Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fd |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
24634368 |
Modular degree for the optimal curve |
Δ |
-3.6918226228826E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11888187,-91082780469] |
[a1,a2,a3,a4,a6] |
Generators |
[24855:3932172:1] |
Generators of the group modulo torsion |
j |
55476504148439/1102248000000 |
j-invariant |
L |
8.0290166674185 |
L(r)(E,1)/r! |
Ω |
0.038289633433356 |
Real period |
R |
3.8831787897941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000095751 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410bi1 127050w1 |
Quadratic twists by: 5 -11 |