Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384ds |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
5245308871114752 = 226 · 39 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1289676,563716496] |
[a1,a2,a3,a4,a6] |
Generators |
[146:19456:1] |
Generators of the group modulo torsion |
j |
1241361053832817/27447552 |
j-invariant |
L |
5.3324006618204 |
L(r)(E,1)/r! |
Ω |
0.39745042630025 |
Real period |
R |
1.6770646876725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000115205 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384s1 30096w1 40128bi1 |
Quadratic twists by: -4 8 -3 |