Atkin-Lehner |
5- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
60775t |
Isogeny class |
Conductor |
60775 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
8673035967578125 = 58 · 112 · 133 · 174 |
Discriminant |
Eigenvalues |
0 -3 5- 2 11- 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-68500,-5247969] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:-1216:1] |
Generators of the group modulo torsion |
j |
90998742712320/22202972077 |
j-invariant |
L |
2.8372639516945 |
L(r)(E,1)/r! |
Ω |
0.3003556151388 |
Real period |
R |
0.39359787321857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999384 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60775g1 |
Quadratic twists by: 5 |