Atkin-Lehner |
5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76705h |
Isogeny class |
Conductor |
76705 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
1390278125 = 55 · 232 · 292 |
Discriminant |
Eigenvalues |
0 -2 5- -2 1 4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-475,3404] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:72:1] |
Generators of the group modulo torsion |
j |
22452404224/2628125 |
j-invariant |
L |
3.3554201440431 |
L(r)(E,1)/r! |
Ω |
1.4689569775447 |
Real period |
R |
0.22842194828218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999895944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76705a1 |
Quadratic twists by: -23 |