Atkin-Lehner |
2- 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17346s |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-1285372052524224 = -1 · 26 · 310 · 78 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -2 -4 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-65906,-6764353] |
[a1,a2,a3,a4,a6] |
j |
-5491799407969/222969024 |
j-invariant |
L |
1.7835601745476 |
L(r)(E,1)/r! |
Ω |
0.14863001454563 |
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 |
52038c1 17346bb1 |
Quadratic twists by: -3 -7 |