Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600t |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-24202800 = -1 · 24 · 36 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-163,-892] |
[a1,a2,a3,a4,a6] |
j |
-1204725760/60507 |
j-invariant |
L |
3.9946896960713 |
L(r)(E,1)/r! |
Ω |
0.6657816778261 |
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 |
49800x1 99600p1 |
Quadratic twists by: -4 5 |