Atkin-Lehner |
3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745p |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5443200 |
Modular degree for the optimal curve |
Δ |
-6.6995638254316E+19 |
Discriminant |
Eigenvalues |
-2 3+ 5- 4 11- -5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-35352610,-80895102102] |
[a1,a2,a3,a4,a6] |
Generators |
[251409:126022407:1] |
Generators of the group modulo torsion |
j |
-2758240050247355723776/37817291221875 |
j-invariant |
L |
2.8274185054644 |
L(r)(E,1)/r! |
Ω |
0.030957353769437 |
Real period |
R |
4.5666346783392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125235bb1 3795d1 |
Quadratic twists by: -3 -11 |