Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
39200cj |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
1152960200000000 = 29 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -6 4 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42875,-3001250] |
[a1,a2,a3,a4,a6] |
Generators |
[1761:73366:1] |
Generators of the group modulo torsion |
j |
7560 |
j-invariant |
L |
4.5815830747802 |
L(r)(E,1)/r! |
Ω |
0.33467766492777 |
Real period |
R |
6.8447696917128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200ci1 78400jk1 39200b1 39200cq1 |
Quadratic twists by: -4 8 5 -7 |