Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60760ba |
Isogeny class |
Conductor |
60760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
226121378000 = 24 · 53 · 76 · 312 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1535,3058] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:155:1] |
Generators of the group modulo torsion |
j |
212629504/120125 |
j-invariant |
L |
4.280547920746 |
L(r)(E,1)/r! |
Ω |
0.85634647860281 |
Real period |
R |
0.83310280504411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121520t1 1240d1 |
Quadratic twists by: -4 -7 |