Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
744g |
Isogeny class |
Conductor |
744 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-361584 = -1 · 24 · 36 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -4 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,333] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-3:1] |
Generators of the group modulo torsion |
j |
-6179217664/22599 |
j-invariant |
L |
2.3164305927066 |
L(r)(E,1)/r! |
Ω |
3.0362477634054 |
Real period |
R |
0.06357711812986 |
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 |
1488b1 5952b1 2232b1 18600d1 |
Quadratic twists by: -4 8 -3 5 |