Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1960n |
Isogeny class |
Conductor |
1960 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-313600000 = -1 · 211 · 55 · 72 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -1 3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-240,-1588] |
[a1,a2,a3,a4,a6] |
j |
-15298178/3125 |
j-invariant |
L |
2.9984192415444 |
L(r)(E,1)/r! |
Ω |
0.59968384830888 |
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 |
3920n1 15680t1 17640p1 9800j1 |
Quadratic twists by: -4 8 -3 5 |