Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840by |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
57471561000000 = 26 · 32 · 56 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45190,-3694600] |
[a1,a2,a3,a4,a6] |
j |
159470506097562304/897993140625 |
j-invariant |
L |
1.965335408415 |
L(r)(E,1)/r! |
Ω |
0.32755590077945 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63840bo1 127680dk2 |
Quadratic twists by: -4 8 |