Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4200bf |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-689192043750000 = -1 · 24 · 38 · 58 · 75 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15792,1011213] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:525:1] |
Generators of the group modulo torsion |
j |
69683121920/110270727 |
j-invariant |
L |
4.354740286789 |
L(r)(E,1)/r! |
Ω |
0.34712957330367 |
Real period |
R |
0.052270830808994 |
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 |
8400l1 33600by1 12600bg1 4200b1 |
Quadratic twists by: -4 8 -3 5 |