Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10620f |
Isogeny class |
Conductor |
10620 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
1486460160 = 28 · 39 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -5 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-432,2916] |
[a1,a2,a3,a4,a6] |
Generators |
[0:54:1] |
Generators of the group modulo torsion |
j |
1769472/295 |
j-invariant |
L |
4.2389622508633 |
L(r)(E,1)/r! |
Ω |
1.442732891189 |
Real period |
R |
0.48969127465789 |
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 |
42480bb1 10620c1 53100c1 |
Quadratic twists by: -4 -3 5 |