Atkin-Lehner |
2+ 5+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17290f |
Isogeny class |
Conductor |
17290 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
452302239334400000 = 218 · 55 · 76 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-246995,-34367179] |
[a1,a2,a3,a4,a6] |
j |
1666438100551883721609/452302239334400000 |
j-invariant |
L |
1.3110743511126 |
L(r)(E,1)/r! |
Ω |
0.21851239185209 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86450z1 121030k1 |
Quadratic twists by: 5 -7 |