Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425ci |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
66322265625 = 32 · 59 · 73 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4838,-129333] |
[a1,a2,a3,a4,a6] |
Generators |
[97:514:1] |
Generators of the group modulo torsion |
j |
2336752783/12375 |
j-invariant |
L |
3.5631765891943 |
L(r)(E,1)/r! |
Ω |
0.57262602550622 |
Real period |
R |
1.5556298659504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275ei1 8085e1 40425n1 |
Quadratic twists by: -3 5 -7 |