Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600b |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-288240050000000000 = -1 · 210 · 511 · 78 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 2 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,48592,25483312] |
[a1,a2,a3,a4,a6] |
Generators |
[182:6350:1] |
Generators of the group modulo torsion |
j |
137564/3125 |
j-invariant |
L |
3.6548305413335 |
L(r)(E,1)/r! |
Ω |
0.23073670394477 |
Real period |
R |
3.9599579074861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800w1 78400ga1 3920a1 19600j1 |
Quadratic twists by: -4 8 5 -7 |