Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
12600bu |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-32154943993200 = -1 · 24 · 314 · 52 · 75 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5685,-217285] |
[a1,a2,a3,a4,a6] |
Generators |
[49:423:1] |
Generators of the group modulo torsion |
j |
69683121920/110270727 |
j-invariant |
L |
4.4798383080355 |
L(r)(E,1)/r! |
Ω |
0.34707119869631 |
Real period |
R |
3.2268871090881 |
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 |
25200br1 100800ds1 4200b1 12600bg1 |
Quadratic twists by: -4 8 -3 5 |