Atkin-Lehner |
3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
23175w |
Isogeny class |
Conductor |
23175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-9385875 = -1 · 36 · 53 · 103 |
Discriminant |
Eigenvalues |
1 3- 5- -2 2 0 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18,-149] |
[a1,a2,a3,a4,a6] |
j |
6859/103 |
j-invariant |
L |
2.2532392564381 |
L(r)(E,1)/r! |
Ω |
1.1266196282191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2575b1 23175s1 |
Quadratic twists by: -3 5 |