Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
49800y |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-298800 = -1 · 24 · 32 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 -4 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[1:3:1] |
Generators of the group modulo torsion |
j |
1280000/747 |
j-invariant |
L |
4.1843675708824 |
L(r)(E,1)/r! |
Ω |
1.8119900393375 |
Real period |
R |
0.57731658011639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600u1 49800n1 |
Quadratic twists by: -4 5 |