Atkin-Lehner |
3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20025q |
Isogeny class |
Conductor |
20025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4440000 |
Modular degree for the optimal curve |
Δ |
-1.9111683484239E+24 |
Discriminant |
Eigenvalues |
-2 3- 5- 3 -4 3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-68014875,-225913912344] |
[a1,a2,a3,a4,a6] |
Generators |
[2353575:691644574:27] |
Generators of the group modulo torsion |
j |
-122193431714654556160/6711373075398003 |
j-invariant |
L |
2.9040845150723 |
L(r)(E,1)/r! |
Ω |
0.026202015302784 |
Real period |
R |
9.2361995871738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6675j1 20025k1 |
Quadratic twists by: -3 5 |