Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200cl |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-192558416265216000 = -1 · 234 · 37 · 53 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,94832,-17903168] |
[a1,a2,a3,a4,a6] |
j |
184210296340699/376090656768 |
j-invariant |
L |
1.3275614038009 |
L(r)(E,1)/r! |
Ω |
0.16594517557118 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6150bf1 49200dv1 |
Quadratic twists by: -4 5 |