Atkin-Lehner |
2- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
71540h |
Isogeny class |
Conductor |
71540 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
273600 |
Modular degree for the optimal curve |
Δ |
-1113211047200000 = -1 · 28 · 55 · 72 · 734 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 2 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14740,1454900] |
[a1,a2,a3,a4,a6] |
j |
28232585585456/88744503125 |
j-invariant |
L |
3.455875134707 |
L(r)(E,1)/r! |
Ω |
0.34558751304196 |
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 |
71540b1 |
Quadratic twists by: -7 |