Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40425da |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-1.5358149338187E+20 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11- 0 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,228667,-594685381] |
[a1,a2,a3,a4,a6] |
Generators |
[1633:-64313:1] |
Generators of the group modulo torsion |
j |
16777216/1948617 |
j-invariant |
L |
5.2196329580386 |
L(r)(E,1)/r! |
Ω |
0.086489129865962 |
Real period |
R |
1.3715945802387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275fg1 40425bk1 40425bj1 |
Quadratic twists by: -3 5 -7 |