Atkin-Lehner |
7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
35819j |
Isogeny class |
Conductor |
35819 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-440069261023 = -1 · 77 · 172 · 432 |
Discriminant |
Eigenvalues |
1 0 0 7- 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1363,-25712] |
[a1,a2,a3,a4,a6] |
j |
2379270375/3740527 |
j-invariant |
L |
1.9858519237464 |
L(r)(E,1)/r! |
Ω |
0.4964629809383 |
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 |
5117b1 |
Quadratic twists by: -7 |