Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600v |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
426240 |
Modular degree for the optimal curve |
Δ |
-804075468750000 = -1 · 24 · 32 · 510 · 833 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -5 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12917,1246088] |
[a1,a2,a3,a4,a6] |
j |
1525299200/5146083 |
j-invariant |
L |
0.71232046710362 |
L(r)(E,1)/r! |
Ω |
0.35616033321411 |
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 |
49800g1 99600q1 |
Quadratic twists by: -4 5 |