Atkin-Lehner |
2- 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17346t |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
978432 |
Modular degree for the optimal curve |
Δ |
-5.9902679348784E+20 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 0 6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1722496,-792696031] |
[a1,a2,a3,a4,a6] |
j |
98042424501284543/103911096582144 |
j-invariant |
L |
4.9423934308447 |
L(r)(E,1)/r! |
Ω |
0.088257025550798 |
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 |
52038e1 17346bg1 |
Quadratic twists by: -3 -7 |