Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200hw |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-4290584347200 = -1 · 26 · 3 · 52 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 3 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5708,-195522] |
[a1,a2,a3,a4,a6] |
Generators |
[2500783964252949:22986941626731144:18385111720457] |
Generators of the group modulo torsion |
j |
-12856765000000/2681615217 |
j-invariant |
L |
6.9424803221896 |
L(r)(E,1)/r! |
Ω |
0.27158706971145 |
Real period |
R |
25.562632011773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200gh1 45600bh1 91200gy1 |
Quadratic twists by: -4 8 5 |