Atkin-Lehner |
2- 5+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
49640f |
Isogeny class |
Conductor |
49640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
93760 |
Modular degree for the optimal curve |
Δ |
132671438080 = 28 · 5 · 175 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 -4 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42761,3389195] |
[a1,a2,a3,a4,a6] |
j |
33778274604964864/518247805 |
j-invariant |
L |
1.9014357255002 |
L(r)(E,1)/r! |
Ω |
0.95071786299128 |
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 |
99280b1 |
Quadratic twists by: -4 |