Atkin-Lehner |
2- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20240w |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-16192000000000 = -1 · 215 · 59 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- -3 11- -4 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8627,364146] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:400:1] [47:250:1] |
Generators of the group modulo torsion |
j |
-17335770872841/3953125000 |
j-invariant |
L |
7.1446536861141 |
L(r)(E,1)/r! |
Ω |
0.664877831271 |
Real period |
R |
0.29849484079302 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2530b1 80960bh1 101200bt1 |
Quadratic twists by: -4 8 5 |