Atkin-Lehner |
2- 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
37168i |
Isogeny class |
Conductor |
37168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-3753968 = -1 · 24 · 23 · 1012 |
Discriminant |
Eigenvalues |
2- 1 -2 0 -4 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6,95] |
[a1,a2,a3,a4,a6] |
Generators |
[7:23:1] [79:707:1] |
Generators of the group modulo torsion |
j |
1257728/234623 |
j-invariant |
L |
8.9010410913985 |
L(r)(E,1)/r! |
Ω |
1.9197191765256 |
Real period |
R |
2.3183185333147 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9292a1 |
Quadratic twists by: -4 |