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 |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-259560466767 = -1 · 37 · 72 · 174 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,647,-23410] |
[a1,a2,a3,a4,a6] |
j |
29949846491375/259560466767 |
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 |
31059h1 72471j1 |
Quadratic twists by: -3 -7 |