Atkin-Lehner |
2+ 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240m |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1554432 |
Modular degree for the optimal curve |
Δ |
-254894850000000000 = -1 · 210 · 39 · 511 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 2 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2202483,-1258339682] |
[a1,a2,a3,a4,a6] |
Generators |
[296614775:40738753764:15625] |
Generators of the group modulo torsion |
j |
-1582828720920861124/341455078125 |
j-invariant |
L |
6.6280723514516 |
L(r)(E,1)/r! |
Ω |
0.061963479513683 |
Real period |
R |
13.370925103226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31080bb1 |
Quadratic twists by: -3 |