Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
17346bg |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-5091643732525056 = -1 · 228 · 38 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 -6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,35153,2316089] |
[a1,a2,a3,a4,a6] |
Generators |
[134:3005:1] |
Generators of the group modulo torsion |
j |
98042424501284543/103911096582144 |
j-invariant |
L |
7.2373160165953 |
L(r)(E,1)/r! |
Ω |
0.2855288755896 |
Real period |
R |
0.11315649401813 |
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 |
52038p1 17346t1 |
Quadratic twists by: -3 -7 |