Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10620d |
Isogeny class |
Conductor |
10620 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-580648500000000 = -1 · 28 · 39 · 59 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -2 1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10287,1226934] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1350:1] |
Generators of the group modulo torsion |
j |
-23892339312/115234375 |
j-invariant |
L |
4.6516681637588 |
L(r)(E,1)/r! |
Ω |
0.44855319615682 |
Real period |
R |
0.19204411822417 |
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 |
42480z1 10620a1 53100a1 |
Quadratic twists by: -4 -3 5 |