Atkin-Lehner |
5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51425b |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-8684878984375 = -1 · 57 · 113 · 174 |
Discriminant |
Eigenvalues |
-1 -2 5+ 0 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26463,1660792] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-181:1] |
Generators of the group modulo torsion |
j |
-98547108659/417605 |
j-invariant |
L |
1.8129074890878 |
L(r)(E,1)/r! |
Ω |
0.73702590627828 |
Real period |
R |
1.229880438156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999778 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10285b1 51425d1 |
Quadratic twists by: 5 -11 |