Atkin-Lehner |
2+ 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
106288d |
Isogeny class |
Conductor |
106288 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
390720 |
Modular degree for the optimal curve |
Δ |
-147901219730992 = -1 · 24 · 73 · 13 · 735 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 3 13- 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10462,415595] |
[a1,a2,a3,a4,a6] |
j |
7914944547956736/9243826233187 |
j-invariant |
L |
5.7968571133752 |
L(r)(E,1)/r! |
Ω |
0.38645717025105 |
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 |
53144c1 |
Quadratic twists by: -4 |