Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
3108i |
Isogeny class |
Conductor |
3108 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
15416040528 = 24 · 312 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1713,26064] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:231:1] |
Generators of the group modulo torsion |
j |
34763966464000/963502533 |
j-invariant |
L |
4.0122196524777 |
L(r)(E,1)/r! |
Ω |
1.2389270892354 |
Real period |
R |
1.6192315461251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
12432bd1 49728m1 9324g1 77700a1 |
Quadratic twists by: -4 8 -3 5 |