Atkin-Lehner |
2+ 5+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
72850g |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
700088500000 = 25 · 56 · 313 · 47 |
Discriminant |
Eigenvalues |
2+ -3 5+ -3 2 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11467,-468059] |
[a1,a2,a3,a4,a6] |
j |
10672703078913/44805664 |
j-invariant |
L |
0.46147164756747 |
L(r)(E,1)/r! |
Ω |
0.46147163563537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2914e1 |
Quadratic twists by: 5 |