Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40425cq |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-1547810464921875 = -1 · 37 · 57 · 77 · 11 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11- -2 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-154758,-23560981] |
[a1,a2,a3,a4,a6] |
j |
-222985990144/841995 |
j-invariant |
L |
6.7382313139814 |
L(r)(E,1)/r! |
Ω |
0.12032555918064 |
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 |
121275dm1 8085m1 5775j1 |
Quadratic twists by: -3 5 -7 |