Atkin-Lehner |
3- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
27825x |
Isogeny class |
Conductor |
27825 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-6465583013080078125 = -1 · 33 · 59 · 77 · 533 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 3 -5 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-195388,-126790483] |
[a1,a2,a3,a4,a6] |
j |
-422364564249389/3310378502697 |
j-invariant |
L |
1.8026121019398 |
L(r)(E,1)/r! |
Ω |
0.10014511677439 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83475bi1 27825e1 |
Quadratic twists by: -3 5 |