Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400c |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-24097500000000 = -1 · 28 · 34 · 510 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6508,313012] |
[a1,a2,a3,a4,a6] |
j |
-7622072656/6024375 |
j-invariant |
L |
2.4729118702842 |
L(r)(E,1)/r! |
Ω |
0.61822796526694 |
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 |
14280bw1 |
Quadratic twists by: 5 |