Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425cu |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18576 |
Modular degree for the optimal curve |
Δ |
-5991995625 = -1 · 3 · 54 · 74 · 113 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11+ 0 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26,-3727] |
[a1,a2,a3,a4,a6] |
Generators |
[507:1084:27] |
Generators of the group modulo torsion |
j |
-1225/3993 |
j-invariant |
L |
7.872618751219 |
L(r)(E,1)/r! |
Ω |
0.61014908285406 |
Real period |
R |
4.3009263213683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275fe1 40425e1 40425bg1 |
Quadratic twists by: -3 5 -7 |