Atkin-Lehner |
2+ 3- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17670d |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-24801046560 = -1 · 25 · 36 · 5 · 193 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -6 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-649,9836] |
[a1,a2,a3,a4,a6] |
j |
-30164456759689/24801046560 |
j-invariant |
L |
2.1906141433118 |
L(r)(E,1)/r! |
Ω |
1.0953070716559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
53010bw1 88350cd1 |
Quadratic twists by: -3 5 |