Atkin-Lehner |
2+ 3+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768i |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-1015796072448 = -1 · 217 · 32 · 17 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 0 5 2 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,607,-48351] |
[a1,a2,a3,a4,a6] |
j |
188392750/7749909 |
j-invariant |
L |
3.3686596314297 |
L(r)(E,1)/r! |
Ω |
0.42108250893502 |
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 |
120768dl1 15096b1 |
Quadratic twists by: -4 8 |