Atkin-Lehner |
2- 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75240bd |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
2.1515623303891E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3553698,-1291606603] |
[a1,a2,a3,a4,a6] |
j |
425517822354901374976/184461791014153125 |
j-invariant |
L |
0.91508281372178 |
L(r)(E,1)/r! |
Ω |
0.11438535452811 |
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 |
25080d1 |
Quadratic twists by: -3 |