Atkin-Lehner |
3+ 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10353a |
Isogeny class |
Conductor |
10353 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8137470827367 = 314 · 7 · 172 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9468,-330906] |
[a1,a2,a3,a4,a6] |
j |
93864490418994625/8137470827367 |
j-invariant |
L |
0.97332775204091 |
L(r)(E,1)/r! |
Ω |
0.48666387602046 |
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 |
31059h2 72471j2 |
Quadratic twists by: -3 -7 |