Atkin-Lehner |
3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425bu |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-2648475684421875 = -1 · 35 · 56 · 78 · 112 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 11+ 5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,14292,2391869] |
[a1,a2,a3,a4,a6] |
j |
3584000/29403 |
j-invariant |
L |
6.6541954680823 |
L(r)(E,1)/r! |
Ω |
0.33270977340418 |
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 |
121275cw1 1617c1 40425r1 |
Quadratic twists by: -3 5 -7 |