Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
21960w |
Isogeny class |
Conductor |
21960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-4098263040 = -1 · 211 · 38 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,5366] |
[a1,a2,a3,a4,a6] |
Generators |
[10:36:1] |
Generators of the group modulo torsion |
j |
-9653618/2745 |
j-invariant |
L |
5.0265637754573 |
L(r)(E,1)/r! |
Ω |
1.3171040126493 |
Real period |
R |
1.9081878603295 |
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 |
43920w1 7320b1 109800s1 |
Quadratic twists by: -4 -3 5 |