Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
65268w |
Isogeny class |
Conductor |
65268 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
118800 |
Modular degree for the optimal curve |
Δ |
812376698112 = 28 · 36 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -5 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2352,-6860] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:13:1] |
Generators of the group modulo torsion |
j |
65536/37 |
j-invariant |
L |
2.8635514728137 |
L(r)(E,1)/r! |
Ω |
0.73866628354873 |
Real period |
R |
3.8766511166915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7252a1 1332e1 |
Quadratic twists by: -3 -7 |