Atkin-Lehner |
2+ 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150f |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-40904083496093750 = -1 · 2 · 512 · 175 · 59 |
Discriminant |
Eigenvalues |
2+ -3 5+ -2 0 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-103417,-16053509] |
[a1,a2,a3,a4,a6] |
Generators |
[3159:174983:1] |
Generators of the group modulo torsion |
j |
-7828559452832481/2617861343750 |
j-invariant |
L |
2.1434565483581 |
L(r)(E,1)/r! |
Ω |
0.13089490733917 |
Real period |
R |
4.0938501579605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10030m1 |
Quadratic twists by: 5 |