Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29600u |
Isogeny class |
Conductor |
29600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
2368000000 = 212 · 56 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -1 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-333,37] |
[a1,a2,a3,a4,a6] |
Generators |
[27:100:1] |
Generators of the group modulo torsion |
j |
64000/37 |
j-invariant |
L |
4.3645642905897 |
L(r)(E,1)/r! |
Ω |
1.222269023152 |
Real period |
R |
0.89271760306385 |
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 |
29600s1 59200by1 1184b1 |
Quadratic twists by: -4 8 5 |