Atkin-Lehner |
2+ 3- 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
9858a |
Isogeny class |
Conductor |
9858 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
-305598 = -1 · 2 · 3 · 312 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 -3 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32,-76] |
[a1,a2,a3,a4,a6] |
j |
-3463512697/305598 |
j-invariant |
L |
2.0047931564113 |
L(r)(E,1)/r! |
Ω |
1.0023965782056 |
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 |
78864o1 29574l1 |
Quadratic twists by: -4 -3 |