Atkin-Lehner |
2+ 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160x |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
2951388656226450000 = 24 · 324 · 55 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-394855,-47968900] |
[a1,a2,a3,a4,a6] |
Generators |
[740:8100:1] |
Generators of the group modulo torsion |
j |
425517822354901374976/184461791014153125 |
j-invariant |
L |
8.1536961169247 |
L(r)(E,1)/r! |
Ω |
0.19812124568446 |
Real period |
R |
1.3718360674795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080d1 |
Quadratic twists by: -4 |