Atkin-Lehner |
2- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
14350p |
Isogeny class |
Conductor |
14350 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-7128125176650625000 = -1 · 23 · 57 · 74 · 416 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1753588,902250781] |
[a1,a2,a3,a4,a6] |
Generators |
[775:2687:1] |
Generators of the group modulo torsion |
j |
-38166856870016053369/456200011305640 |
j-invariant |
L |
9.6067104232591 |
L(r)(E,1)/r! |
Ω |
0.23668507013855 |
Real period |
R |
1.1274604991204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114800cb2 129150o2 2870d2 100450bm2 |
Quadratic twists by: -4 -3 5 -7 |