Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4200r |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
8139550781250000 = 24 · 35 · 514 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-699783,-225041688] |
[a1,a2,a3,a4,a6] |
Generators |
[-487:119:1] |
Generators of the group modulo torsion |
j |
151591373397612544/32558203125 |
j-invariant |
L |
3.153590290039 |
L(r)(E,1)/r! |
Ω |
0.16506851843854 |
Real period |
R |
3.184122488316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8400s1 33600cs1 12600s1 840d1 |
Quadratic twists by: -4 8 -3 5 |