Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320r |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-65216882077440 = -1 · 28 · 3 · 5 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7340,455328] |
[a1,a2,a3,a4,a6] |
j |
-3631696/5415 |
j-invariant |
L |
4.4577897063431 |
L(r)(E,1)/r! |
Ω |
0.55722371330147 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640n1 129960ck1 2280g1 |
Quadratic twists by: -4 -3 -19 |