Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7150w |
Isogeny class |
Conductor |
7150 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
-2299888805500000000 = -1 · 28 · 59 · 115 · 134 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,306737,-32350983] |
[a1,a2,a3,a4,a6] |
Generators |
[206:6189:1] |
Generators of the group modulo torsion |
j |
1634150614962403/1177543068416 |
j-invariant |
L |
4.3692747543195 |
L(r)(E,1)/r! |
Ω |
0.14566812933796 |
Real period |
R |
0.37493400016334 |
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 |
57200cg1 64350cf1 7150m1 78650be1 |
Quadratic twists by: -4 -3 5 -11 |