Atkin-Lehner |
2+ 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600j |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-1792800000000 = -1 · 211 · 33 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 -7 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9208,-343088] |
[a1,a2,a3,a4,a6] |
j |
-107938610/2241 |
j-invariant |
L |
0.48676593057504 |
L(r)(E,1)/r! |
Ω |
0.24338301658232 |
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 |
49800q1 99600ba1 |
Quadratic twists by: -4 5 |