Atkin-Lehner |
2- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
71540f |
Isogeny class |
Conductor |
71540 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
1649655454160 = 24 · 5 · 710 · 73 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 6 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5161,-126930] |
[a1,a2,a3,a4,a6] |
j |
8077950976/876365 |
j-invariant |
L |
5.1049978134376 |
L(r)(E,1)/r! |
Ω |
0.56722198182658 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10220e1 |
Quadratic twists by: -7 |