Atkin-Lehner |
2- 3+ 7- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32718h |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
221027358576889872 = 24 · 37 · 76 · 19 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-769643,258578633] |
[a1,a2,a3,a4,a6] |
j |
50418708717801011064625/221027358576889872 |
j-invariant |
L |
3.7980284033241 |
L(r)(E,1)/r! |
Ω |
0.31650236694395 |
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 |
98154bk1 |
Quadratic twists by: -3 |