Atkin-Lehner |
5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44795a |
Isogeny class |
Conductor |
44795 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
88000 |
Modular degree for the optimal curve |
Δ |
-2338326996875 = -1 · 55 · 176 · 31 |
Discriminant |
Eigenvalues |
-2 1 5+ 2 -2 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2794,47650] |
[a1,a2,a3,a4,a6] |
Generators |
[41:482:1] |
Generators of the group modulo torsion |
j |
99897344/96875 |
j-invariant |
L |
2.3957004391318 |
L(r)(E,1)/r! |
Ω |
0.53758289986122 |
Real period |
R |
4.456429770609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
155a1 |
Quadratic twists by: 17 |