Atkin-Lehner |
2- 3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
111300l |
Isogeny class |
Conductor |
111300 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-136919868750000 = -1 · 24 · 310 · 58 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7033,604688] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-675:1] |
Generators of the group modulo torsion |
j |
-153910165504/547679475 |
j-invariant |
L |
7.1342500657904 |
L(r)(E,1)/r! |
Ω |
0.5101611890396 |
Real period |
R |
0.46614352579442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22260c1 |
Quadratic twists by: 5 |