Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42900br |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-147468750000 = -1 · 24 · 3 · 59 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1167,-9912] |
[a1,a2,a3,a4,a6] |
Generators |
[17:123:1] |
Generators of the group modulo torsion |
j |
5619712/4719 |
j-invariant |
L |
5.6489102012617 |
L(r)(E,1)/r! |
Ω |
0.56910414810014 |
Real period |
R |
3.3086563740082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128700bo1 42900v1 |
Quadratic twists by: -3 5 |