Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400dy |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-36414000 = -1 · 24 · 32 · 53 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,77,158] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:9:1] [2:18:1] |
Generators of the group modulo torsion |
j |
24918016/18207 |
j-invariant |
L |
12.032777584664 |
L(r)(E,1)/r! |
Ω |
1.3107670842662 |
Real period |
R |
2.2949877459412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71400x1 |
Quadratic twists by: 5 |