Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425ct |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
277200 |
Modular degree for the optimal curve |
Δ |
-66211892110546875 = -1 · 35 · 58 · 78 · 112 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 11+ 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-28583,-12528631] |
[a1,a2,a3,a4,a6] |
Generators |
[277:940:1] |
Generators of the group modulo torsion |
j |
-1146880/29403 |
j-invariant |
L |
5.406500980874 |
L(r)(E,1)/r! |
Ω |
0.15092381028786 |
Real period |
R |
3.5822717240993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275fc1 40425c1 40425be1 |
Quadratic twists by: -3 5 -7 |