Atkin-Lehner |
2+ 5- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40040d |
Isogeny class |
Conductor |
40040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
25625600 = 210 · 52 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 11+ 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320,2300] |
[a1,a2,a3,a4,a6] |
j |
3550014724/25025 |
j-invariant |
L |
2.1305422759231 |
L(r)(E,1)/r! |
Ω |
2.130542275894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80080q1 |
Quadratic twists by: -4 |