Atkin-Lehner |
2+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95200m |
Isogeny class |
Conductor |
95200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-275128000000000 = -1 · 212 · 59 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 2 -5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9667,-706037] |
[a1,a2,a3,a4,a6] |
j |
12487168/34391 |
j-invariant |
L |
1.1307487375266 |
L(r)(E,1)/r! |
Ω |
0.28268717371083 |
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 |
95200bi1 95200bl1 |
Quadratic twists by: -4 5 |