Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4200bb |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
296352000 = 28 · 33 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15428,-742752] |
[a1,a2,a3,a4,a6] |
j |
12692020761488/9261 |
j-invariant |
L |
2.5702245690485 |
L(r)(E,1)/r! |
Ω |
0.42837076150808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8400m1 33600bj1 12600ba1 4200g1 |
Quadratic twists by: -4 8 -3 5 |