Atkin-Lehner |
2+ 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
19392j |
Isogeny class |
Conductor |
19392 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
454656 |
Modular degree for the optimal curve |
Δ |
-1453296179380912128 = -1 · 215 · 316 · 1013 |
Discriminant |
Eigenvalues |
2+ 3+ -2 5 -4 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-159329,-62901855] |
[a1,a2,a3,a4,a6] |
j |
-13650890847811784/44351079693021 |
j-invariant |
L |
1.3207298840097 |
L(r)(E,1)/r! |
Ω |
0.11006082366748 |
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 |
19392t1 9696b1 58176l1 |
Quadratic twists by: -4 8 -3 |