Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17346n |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-124966727328744 = -1 · 23 · 38 · 79 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 2 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11783,217508] |
[a1,a2,a3,a4,a6] |
Generators |
[4:512:1] |
Generators of the group modulo torsion |
j |
4483962449/3096792 |
j-invariant |
L |
5.4247194865336 |
L(r)(E,1)/r! |
Ω |
0.37091838307104 |
Real period |
R |
0.91406892562512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52038bs1 17346i1 |
Quadratic twists by: -3 -7 |