Atkin-Lehner |
5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10175i |
Isogeny class |
Conductor |
10175 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-30779375 = -1 · 54 · 113 · 37 |
Discriminant |
Eigenvalues |
1 1 5- 4 11+ 1 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,49,-227] |
[a1,a2,a3,a4,a6] |
j |
21434375/49247 |
j-invariant |
L |
3.2439487059048 |
L(r)(E,1)/r! |
Ω |
1.0813162353016 |
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 |
91575bw1 10175f1 111925v1 |
Quadratic twists by: -3 5 -11 |