Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432cu |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
119040 |
Modular degree for the optimal curve |
Δ |
-1012150272 = -1 · 212 · 3 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 1 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17733,903027] |
[a1,a2,a3,a4,a6] |
Generators |
[538:1107:8] |
Generators of the group modulo torsion |
j |
-3072832000000/5043 |
j-invariant |
L |
7.4455285018702 |
L(r)(E,1)/r! |
Ω |
1.3319014967845 |
Real period |
R |
2.7950747610149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999815047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6027e1 96432t1 |
Quadratic twists by: -4 -7 |