Atkin-Lehner |
5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
10175f |
Isogeny class |
Conductor |
10175 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-480927734375 = -1 · 510 · 113 · 37 |
Discriminant |
Eigenvalues |
-1 -1 5+ -4 11+ -1 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1237,-28344] |
[a1,a2,a3,a4,a6] |
j |
21434375/49247 |
j-invariant |
L |
0.48357932146171 |
L(r)(E,1)/r! |
Ω |
0.48357932146171 |
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 |
91575bo1 10175i1 111925n1 |
Quadratic twists by: -3 5 -11 |