Atkin-Lehner |
2+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
14840d |
Isogeny class |
Conductor |
14840 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
255744 |
Modular degree for the optimal curve |
Δ |
-4865520555038080000 = -1 · 210 · 54 · 73 · 536 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 4 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-325547,-127961514] |
[a1,a2,a3,a4,a6] |
j |
-3726188731883770884/4751484917029375 |
j-invariant |
L |
3.4333227840509 |
L(r)(E,1)/r! |
Ω |
0.095370077334746 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29680d1 118720f1 74200m1 103880h1 |
Quadratic twists by: -4 8 5 -7 |