Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1960m |
Isogeny class |
Conductor |
1960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-51652616960 = -1 · 28 · 5 · 79 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -5 -7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5945,-174803] |
[a1,a2,a3,a4,a6] |
j |
-2249728/5 |
j-invariant |
L |
1.0872456192483 |
L(r)(E,1)/r! |
Ω |
0.27181140481208 |
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 |
3920k1 15680l1 17640w1 9800g1 |
Quadratic twists by: -4 8 -3 5 |