Atkin-Lehner |
2- 3+ 5- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710x |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
-5617980 = -1 · 22 · 32 · 5 · 232 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 6 2 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,40,-43] |
[a1,a2,a3,a4,a6] |
j |
7066834559/5617980 |
j-invariant |
L |
2.6727400610817 |
L(r)(E,1)/r! |
Ω |
1.3363700305636 |
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 |
122130p1 |
Quadratic twists by: -3 |