Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984h |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-5348599541376048 = -1 · 24 · 39 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 -6 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58482,6481755] |
[a1,a2,a3,a4,a6] |
j |
-1492992/361 |
j-invariant |
L |
0.81868541947723 |
L(r)(E,1)/r! |
Ω |
0.40934271059056 |
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 |
25992t1 51984g1 2736d1 |
Quadratic twists by: -4 -3 -19 |