Atkin-Lehner |
2+ 3+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
5874a |
Isogeny class |
Conductor |
5874 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
1157618221056 = 214 · 38 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11+ 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12634,538900] |
[a1,a2,a3,a4,a6] |
j |
223048876338925993/1157618221056 |
j-invariant |
L |
1.7442329269882 |
L(r)(E,1)/r! |
Ω |
0.87211646349409 |
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 |
46992q1 17622l1 64614o1 |
Quadratic twists by: -4 -3 -11 |